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Finding the Fourth Proportional to 716.24, 986.06 and 566.58

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Solution

The fourth proportional to 716.24, 986.06 and 566.58 is: 780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.24 : 986.06 = 566.58 : x
  2. Step 2: Convert to fraction form
    716.24/986.06 = 566.58/x
  3. Step 3: Cross multiply
    716.24x = 986.06 × 566.58
  4. Step 4: Simplify right side
    716.24x = 558,681.87
  5. Step 5: Solve for x
    x = 558,681.87/716.24
  6. Step 6: Final answer
    x = 780.02

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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.