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Finding the Fourth Proportional to 1,001.37, 1,510.07 and 987.69

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Solution

The fourth proportional to 1,001.37, 1,510.07 and 987.69 is: 1,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.37 : 1,510.07 = 987.69 : x
  2. Step 2: Convert to fraction form
    1,001.37/1,510.07 = 987.69/x
  3. Step 3: Cross multiply
    1,001.37x = 1,510.07 × 987.69
  4. Step 4: Simplify right side
    1,001.37x = 1,491,476.10
  5. Step 5: Solve for x
    x = 1,491,476.10/1,001.37
  6. Step 6: Final answer
    x = 1,489.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.