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Finding the Fourth Proportional to 665.68, 917.58 and 468.76

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Solution

The fourth proportional to 665.68, 917.58 and 468.76 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.68 : 917.58 = 468.76 : x
  2. Step 2: Convert to fraction form
    665.68/917.58 = 468.76/x
  3. Step 3: Cross multiply
    665.68x = 917.58 × 468.76
  4. Step 4: Simplify right side
    665.68x = 430,124.80
  5. Step 5: Solve for x
    x = 430,124.80/665.68
  6. Step 6: Final answer
    x = 646.14

Related Problems

Find fourth proportional to 332.84, 458.79 and 234.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.