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Finding the Fourth Proportional to 711.92, 1,061.94 and 597.08

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Solution

The fourth proportional to 711.92, 1,061.94 and 597.08 is: 890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 1,061.94 = 597.08 : x
  2. Step 2: Convert to fraction form
    711.92/1,061.94 = 597.08/x
  3. Step 3: Cross multiply
    711.92x = 1,061.94 × 597.08
  4. Step 4: Simplify right side
    711.92x = 634,063.14
  5. Step 5: Solve for x
    x = 634,063.14/711.92
  6. Step 6: Final answer
    x = 890.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.