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Finding the Fourth Proportional to 514.98, 711.05 and 462.42

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Solution

The fourth proportional to 514.98, 711.05 and 462.42 is: 638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.98 : 711.05 = 462.42 : x
  2. Step 2: Convert to fraction form
    514.98/711.05 = 462.42/x
  3. Step 3: Cross multiply
    514.98x = 711.05 × 462.42
  4. Step 4: Simplify right side
    514.98x = 328,801.43
  5. Step 5: Solve for x
    x = 328,801.43/514.98
  6. Step 6: Final answer
    x = 638.47

Related Problems

Find fourth proportional to 257.49, 355.52 and 231.21
Half scale
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Double scale
Find fourth proportional to 515.98, 712.43 and 463.42
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.