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Finding the Fourth Proportional to 741.88, 1,024.08 and 505.72

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Solution

The fourth proportional to 741.88, 1,024.08 and 505.72 is: 698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.88 : 1,024.08 = 505.72 : x
  2. Step 2: Convert to fraction form
    741.88/1,024.08 = 505.72/x
  3. Step 3: Cross multiply
    741.88x = 1,024.08 × 505.72
  4. Step 4: Simplify right side
    741.88x = 517,897.74
  5. Step 5: Solve for x
    x = 517,897.74/741.88
  6. Step 6: Final answer
    x = 698.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.