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Finding the Fourth Proportional to 713.58, 984.81 and 514.58

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Solution

The fourth proportional to 713.58, 984.81 and 514.58 is: 710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.58 : 984.81 = 514.58 : x
  2. Step 2: Convert to fraction form
    713.58/984.81 = 514.58/x
  3. Step 3: Cross multiply
    713.58x = 984.81 × 514.58
  4. Step 4: Simplify right side
    713.58x = 506,758.61
  5. Step 5: Solve for x
    x = 506,758.61/713.58
  6. Step 6: Final answer
    x = 710.16

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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.