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Finding the Fourth Proportional to 1,254.79, 1,881.17 and 524.91

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Solution

The fourth proportional to 1,254.79, 1,881.17 and 524.91 is: 786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.79 : 1,881.17 = 524.91 : x
  2. Step 2: Convert to fraction form
    1,254.79/1,881.17 = 524.91/x
  3. Step 3: Cross multiply
    1,254.79x = 1,881.17 × 524.91
  4. Step 4: Simplify right side
    1,254.79x = 987,444.94
  5. Step 5: Solve for x
    x = 987,444.94/1,254.79
  6. Step 6: Final answer
    x = 786.94

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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.