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Finding the Fourth Proportional to 514.92, 710.46 and 305.10

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Solution

The fourth proportional to 514.92, 710.46 and 305.10 is: 420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 710.46 = 305.10 : x
  2. Step 2: Convert to fraction form
    514.92/710.46 = 305.10/x
  3. Step 3: Cross multiply
    514.92x = 710.46 × 305.10
  4. Step 4: Simplify right side
    514.92x = 216,761.35
  5. Step 5: Solve for x
    x = 216,761.35/514.92
  6. Step 6: Final answer
    x = 420.96

Related Problems

Find fourth proportional to 257.46, 355.23 and 152.55
Half scale
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Double scale
Find fourth proportional to 515.92, 711.84 and 306.10
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.