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Finding the Fourth Proportional to 711.86, 1,065.69 and 530.06

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Solution

The fourth proportional to 711.86, 1,065.69 and 530.06 is: 793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.86 : 1,065.69 = 530.06 : x
  2. Step 2: Convert to fraction form
    711.86/1,065.69 = 530.06/x
  3. Step 3: Cross multiply
    711.86x = 1,065.69 × 530.06
  4. Step 4: Simplify right side
    711.86x = 564,874.31
  5. Step 5: Solve for x
    x = 564,874.31/711.86
  6. Step 6: Final answer
    x = 793.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.