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Finding the Fourth Proportional to 690.18, 953.82 and 565.65

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Solution

The fourth proportional to 690.18, 953.82 and 565.65 is: 781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.18 : 953.82 = 565.65 : x
  2. Step 2: Convert to fraction form
    690.18/953.82 = 565.65/x
  3. Step 3: Cross multiply
    690.18x = 953.82 × 565.65
  4. Step 4: Simplify right side
    690.18x = 539,528.28
  5. Step 5: Solve for x
    x = 539,528.28/690.18
  6. Step 6: Final answer
    x = 781.72

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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.