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Finding the Fourth Proportional to 711.61, 983.25 and 565.53

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Solution

The fourth proportional to 711.61, 983.25 and 565.53 is: 781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.61 : 983.25 = 565.53 : x
  2. Step 2: Convert to fraction form
    711.61/983.25 = 565.53/x
  3. Step 3: Cross multiply
    711.61x = 983.25 × 565.53
  4. Step 4: Simplify right side
    711.61x = 556,054.54
  5. Step 5: Solve for x
    x = 556,054.54/711.61
  6. Step 6: Final answer
    x = 781.40

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1.5x scale

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.