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Finding the Fourth Proportional to 713.64, 981.74 and 582.36

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Solution

The fourth proportional to 713.64, 981.74 and 582.36 is: 801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.64 : 981.74 = 582.36 : x
  2. Step 2: Convert to fraction form
    713.64/981.74 = 582.36/x
  3. Step 3: Cross multiply
    713.64x = 981.74 × 582.36
  4. Step 4: Simplify right side
    713.64x = 571,726.11
  5. Step 5: Solve for x
    x = 571,726.11/713.64
  6. Step 6: Final answer
    x = 801.14

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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.