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Finding the Fourth Proportional to 981.66, 1,472.74 and 288.35

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Solution

The fourth proportional to 981.66, 1,472.74 and 288.35 is: 432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.66 : 1,472.74 = 288.35 : x
  2. Step 2: Convert to fraction form
    981.66/1,472.74 = 288.35/x
  3. Step 3: Cross multiply
    981.66x = 1,472.74 × 288.35
  4. Step 4: Simplify right side
    981.66x = 424,666.97
  5. Step 5: Solve for x
    x = 424,666.97/981.66
  6. Step 6: Final answer
    x = 432.60

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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.