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Finding the Fourth Proportional to 1,093.52, 1,500.98 and 972.85

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Solution

The fourth proportional to 1,093.52, 1,500.98 and 972.85 is: 1,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.52 : 1,500.98 = 972.85 : x
  2. Step 2: Convert to fraction form
    1,093.52/1,500.98 = 972.85/x
  3. Step 3: Cross multiply
    1,093.52x = 1,500.98 × 972.85
  4. Step 4: Simplify right side
    1,093.52x = 1,460,235.02
  5. Step 5: Solve for x
    x = 1,460,235.02/1,093.52
  6. Step 6: Final answer
    x = 1,335.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.