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Finding the Fourth Proportional to 713.81, 984.15 and 566.19

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Solution

The fourth proportional to 713.81, 984.15 and 566.19 is: 780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.81 : 984.15 = 566.19 : x
  2. Step 2: Convert to fraction form
    713.81/984.15 = 566.19/x
  3. Step 3: Cross multiply
    713.81x = 984.15 × 566.19
  4. Step 4: Simplify right side
    713.81x = 557,215.89
  5. Step 5: Solve for x
    x = 557,215.89/713.81
  6. Step 6: Final answer
    x = 780.62

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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.