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Finding the Fourth Proportional to 1,155.84, 1,730.76 and 972.84

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Solution

The fourth proportional to 1,155.84, 1,730.76 and 972.84 is: 1,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.84 : 1,730.76 = 972.84 : x
  2. Step 2: Convert to fraction form
    1,155.84/1,730.76 = 972.84/x
  3. Step 3: Cross multiply
    1,155.84x = 1,730.76 × 972.84
  4. Step 4: Simplify right side
    1,155.84x = 1,683,752.56
  5. Step 5: Solve for x
    x = 1,683,752.56/1,155.84
  6. Step 6: Final answer
    x = 1,456.73

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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.