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Finding the Fourth Proportional to 666.56, 992.20 and 652.16

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Solution

The fourth proportional to 666.56, 992.20 and 652.16 is: 970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 992.20 = 652.16 : x
  2. Step 2: Convert to fraction form
    666.56/992.20 = 652.16/x
  3. Step 3: Cross multiply
    666.56x = 992.20 × 652.16
  4. Step 4: Simplify right side
    666.56x = 647,073.15
  5. Step 5: Solve for x
    x = 647,073.15/666.56
  6. Step 6: Final answer
    x = 970.77

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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.