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Finding the Fourth Proportional to 1,001.36, 1,490.74 and 987.68

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Solution

The fourth proportional to 1,001.36, 1,490.74 and 987.68 is: 1,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.36 : 1,490.74 = 987.68 : x
  2. Step 2: Convert to fraction form
    1,001.36/1,490.74 = 987.68/x
  3. Step 3: Cross multiply
    1,001.36x = 1,490.74 × 987.68
  4. Step 4: Simplify right side
    1,001.36x = 1,472,374.08
  5. Step 5: Solve for x
    x = 1,472,374.08/1,001.36
  6. Step 6: Final answer
    x = 1,470.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.