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Finding the Fourth Proportional to 710.44, 1,066.67 and 558.02

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Solution

The fourth proportional to 710.44, 1,066.67 and 558.02 is: 837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.44 : 1,066.67 = 558.02 : x
  2. Step 2: Convert to fraction form
    710.44/1,066.67 = 558.02/x
  3. Step 3: Cross multiply
    710.44x = 1,066.67 × 558.02
  4. Step 4: Simplify right side
    710.44x = 595,225.16
  5. Step 5: Solve for x
    x = 595,225.16/710.44
  6. Step 6: Final answer
    x = 837.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.