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Finding the Fourth Proportional to 718.95, 992.25 and 424.25

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Solution

The fourth proportional to 718.95, 992.25 and 424.25 is: 585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.95 : 992.25 = 424.25 : x
  2. Step 2: Convert to fraction form
    718.95/992.25 = 424.25/x
  3. Step 3: Cross multiply
    718.95x = 992.25 × 424.25
  4. Step 4: Simplify right side
    718.95x = 420,957.10
  5. Step 5: Solve for x
    x = 420,957.10/718.95
  6. Step 6: Final answer
    x = 585.52

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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.