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Finding the Fourth Proportional to 1,253.89, 1,880.53 and 473.98

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Solution

The fourth proportional to 1,253.89, 1,880.53 and 473.98 is: 710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.89 : 1,880.53 = 473.98 : x
  2. Step 2: Convert to fraction form
    1,253.89/1,880.53 = 473.98/x
  3. Step 3: Cross multiply
    1,253.89x = 1,880.53 × 473.98
  4. Step 4: Simplify right side
    1,253.89x = 891,333.61
  5. Step 5: Solve for x
    x = 891,333.61/1,253.89
  6. Step 6: Final answer
    x = 710.85

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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.