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Finding the Fourth Proportional to 899.69, 1,240.45 and 742.95

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Solution

The fourth proportional to 899.69, 1,240.45 and 742.95 is: 1,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.69 : 1,240.45 = 742.95 : x
  2. Step 2: Convert to fraction form
    899.69/1,240.45 = 742.95/x
  3. Step 3: Cross multiply
    899.69x = 1,240.45 × 742.95
  4. Step 4: Simplify right side
    899.69x = 921,590.47
  5. Step 5: Solve for x
    x = 921,590.47/899.69
  6. Step 6: Final answer
    x = 1,024.35

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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.