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Finding the Fourth Proportional to 690.49, 954.24 and 565.95

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Solution

The fourth proportional to 690.49, 954.24 and 565.95 is: 782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.49 : 954.24 = 565.95 : x
  2. Step 2: Convert to fraction form
    690.49/954.24 = 565.95/x
  3. Step 3: Cross multiply
    690.49x = 954.24 × 565.95
  4. Step 4: Simplify right side
    690.49x = 540,052.13
  5. Step 5: Solve for x
    x = 540,052.13/690.49
  6. Step 6: Final answer
    x = 782.13

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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.