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Finding the Fourth Proportional to 711.16, 1,065.66 and 527.70

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Solution

The fourth proportional to 711.16, 1,065.66 and 527.70 is: 790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.16 : 1,065.66 = 527.70 : x
  2. Step 2: Convert to fraction form
    711.16/1,065.66 = 527.70/x
  3. Step 3: Cross multiply
    711.16x = 1,065.66 × 527.70
  4. Step 4: Simplify right side
    711.16x = 562,343.45
  5. Step 5: Solve for x
    x = 562,343.45/711.16
  6. Step 6: Final answer
    x = 790.74

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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.