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Finding the Fourth Proportional to 977.31, 1,348.20 and 603.72

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Solution

The fourth proportional to 977.31, 1,348.20 and 603.72 is: 832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.31 : 1,348.20 = 603.72 : x
  2. Step 2: Convert to fraction form
    977.31/1,348.20 = 603.72/x
  3. Step 3: Cross multiply
    977.31x = 1,348.20 × 603.72
  4. Step 4: Simplify right side
    977.31x = 813,935.30
  5. Step 5: Solve for x
    x = 813,935.30/977.31
  6. Step 6: Final answer
    x = 832.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.