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Finding the Fourth Proportional to 665.70, 998.58 and 340.98

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Solution

The fourth proportional to 665.70, 998.58 and 340.98 is: 511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.70 : 998.58 = 340.98 : x
  2. Step 2: Convert to fraction form
    665.70/998.58 = 340.98/x
  3. Step 3: Cross multiply
    665.70x = 998.58 × 340.98
  4. Step 4: Simplify right side
    665.70x = 340,495.81
  5. Step 5: Solve for x
    x = 340,495.81/665.70
  6. Step 6: Final answer
    x = 511.49

Related Problems

Find fourth proportional to 332.85, 499.29 and 170.49
Half scale
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Double scale
Find fourth proportional to 666.70, 1,000.08 and 341.98
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.