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Finding the Fourth Proportional to 652.55, 977.40 and 601.97

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Solution

The fourth proportional to 652.55, 977.40 and 601.97 is: 901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.55 : 977.40 = 601.97 : x
  2. Step 2: Convert to fraction form
    652.55/977.40 = 601.97/x
  3. Step 3: Cross multiply
    652.55x = 977.40 × 601.97
  4. Step 4: Simplify right side
    652.55x = 588,360.59
  5. Step 5: Solve for x
    x = 588,360.59/652.55
  6. Step 6: Final answer
    x = 901.64

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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.