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Finding the Fourth Proportional to 652.16, 970.80 and 642.44

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Solution

The fourth proportional to 652.16, 970.80 and 642.44 is: 956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.16 : 970.80 = 642.44 : x
  2. Step 2: Convert to fraction form
    652.16/970.80 = 642.44/x
  3. Step 3: Cross multiply
    652.16x = 970.80 × 642.44
  4. Step 4: Simplify right side
    652.16x = 623,680.75
  5. Step 5: Solve for x
    x = 623,680.75/652.16
  6. Step 6: Final answer
    x = 956.33

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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.