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Finding the Fourth Proportional to 937.48, 1,293.08 and 564.32

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Solution

The fourth proportional to 937.48, 1,293.08 and 564.32 is: 778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.48 : 1,293.08 = 564.32 : x
  2. Step 2: Convert to fraction form
    937.48/1,293.08 = 564.32/x
  3. Step 3: Cross multiply
    937.48x = 1,293.08 × 564.32
  4. Step 4: Simplify right side
    937.48x = 729,710.91
  5. Step 5: Solve for x
    x = 729,710.91/937.48
  6. Step 6: Final answer
    x = 778.37

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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.