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Finding the Fourth Proportional to 654.03, 974.18 and 652.77

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Solution

The fourth proportional to 654.03, 974.18 and 652.77 is: 972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.03 : 974.18 = 652.77 : x
  2. Step 2: Convert to fraction form
    654.03/974.18 = 652.77/x
  3. Step 3: Cross multiply
    654.03x = 974.18 × 652.77
  4. Step 4: Simplify right side
    654.03x = 635,917.11
  5. Step 5: Solve for x
    x = 635,917.11/654.03
  6. Step 6: Final answer
    x = 972.31

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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.