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Finding the Fourth Proportional to 616.99, 925.64 and 434.74

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Solution

The fourth proportional to 616.99, 925.64 and 434.74 is: 652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.99 : 925.64 = 434.74 : x
  2. Step 2: Convert to fraction form
    616.99/925.64 = 434.74/x
  3. Step 3: Cross multiply
    616.99x = 925.64 × 434.74
  4. Step 4: Simplify right side
    616.99x = 402,408.25
  5. Step 5: Solve for x
    x = 402,408.25/616.99
  6. Step 6: Final answer
    x = 652.21

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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.