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Finding the Fourth Proportional to 730.41, 1,009.79 and 565.17

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Solution

The fourth proportional to 730.41, 1,009.79 and 565.17 is: 781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.41 : 1,009.79 = 565.17 : x
  2. Step 2: Convert to fraction form
    730.41/1,009.79 = 565.17/x
  3. Step 3: Cross multiply
    730.41x = 1,009.79 × 565.17
  4. Step 4: Simplify right side
    730.41x = 570,703.01
  5. Step 5: Solve for x
    x = 570,703.01/730.41
  6. Step 6: Final answer
    x = 781.35

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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.