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Finding the Fourth Proportional to 897.91, 1,239.12 and 525.13

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Solution

The fourth proportional to 897.91, 1,239.12 and 525.13 is: 724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.91 : 1,239.12 = 525.13 : x
  2. Step 2: Convert to fraction form
    897.91/1,239.12 = 525.13/x
  3. Step 3: Cross multiply
    897.91x = 1,239.12 × 525.13
  4. Step 4: Simplify right side
    897.91x = 650,699.09
  5. Step 5: Solve for x
    x = 650,699.09/897.91
  6. Step 6: Final answer
    x = 724.68

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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.