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Finding the Fourth Proportional to 987.53, 1,479.55 and 524.31

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Solution

The fourth proportional to 987.53, 1,479.55 and 524.31 is: 785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.53 : 1,479.55 = 524.31 : x
  2. Step 2: Convert to fraction form
    987.53/1,479.55 = 524.31/x
  3. Step 3: Cross multiply
    987.53x = 1,479.55 × 524.31
  4. Step 4: Simplify right side
    987.53x = 775,742.86
  5. Step 5: Solve for x
    x = 775,742.86/987.53
  6. Step 6: Final answer
    x = 785.54

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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.