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Finding the Fourth Proportional to 987.61, 1,480.36 and 524.93

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Solution

The fourth proportional to 987.61, 1,480.36 and 524.93 is: 786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.61 : 1,480.36 = 524.93 : x
  2. Step 2: Convert to fraction form
    987.61/1,480.36 = 524.93/x
  3. Step 3: Cross multiply
    987.61x = 1,480.36 × 524.93
  4. Step 4: Simplify right side
    987.61x = 777,077.56
  5. Step 5: Solve for x
    x = 777,077.56/987.61
  6. Step 6: Final answer
    x = 786.82

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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.