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Finding the Fourth Proportional to 690.68, 952.35 and 565.94

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Solution

The fourth proportional to 690.68, 952.35 and 565.94 is: 780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.68 : 952.35 = 565.94 : x
  2. Step 2: Convert to fraction form
    690.68/952.35 = 565.94/x
  3. Step 3: Cross multiply
    690.68x = 952.35 × 565.94
  4. Step 4: Simplify right side
    690.68x = 538,972.96
  5. Step 5: Solve for x
    x = 538,972.96/690.68
  6. Step 6: Final answer
    x = 780.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.