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Finding the Fourth Proportional to 653.90, 974.54 and 652.88

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Solution

The fourth proportional to 653.90, 974.54 and 652.88 is: 973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.90 : 974.54 = 652.88 : x
  2. Step 2: Convert to fraction form
    653.90/974.54 = 652.88/x
  3. Step 3: Cross multiply
    653.90x = 974.54 × 652.88
  4. Step 4: Simplify right side
    653.90x = 636,257.68
  5. Step 5: Solve for x
    x = 636,257.68/653.90
  6. Step 6: Final answer
    x = 973.02

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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.