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Finding the Fourth Proportional to 751.84, 1,127.40 and 478.24

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Solution

The fourth proportional to 751.84, 1,127.40 and 478.24 is: 717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.84 : 1,127.40 = 478.24 : x
  2. Step 2: Convert to fraction form
    751.84/1,127.40 = 478.24/x
  3. Step 3: Cross multiply
    751.84x = 1,127.40 × 478.24
  4. Step 4: Simplify right side
    751.84x = 539,167.78
  5. Step 5: Solve for x
    x = 539,167.78/751.84
  6. Step 6: Final answer
    x = 717.13

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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.