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Finding the Fourth Proportional to 731.88, 1,009.62 and 556.92

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Solution

The fourth proportional to 731.88, 1,009.62 and 556.92 is: 768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.88 : 1,009.62 = 556.92 : x
  2. Step 2: Convert to fraction form
    731.88/1,009.62 = 556.92/x
  3. Step 3: Cross multiply
    731.88x = 1,009.62 × 556.92
  4. Step 4: Simplify right side
    731.88x = 562,277.57
  5. Step 5: Solve for x
    x = 562,277.57/731.88
  6. Step 6: Final answer
    x = 768.26

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Double scale
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1.5x scale

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.