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Finding the Fourth Proportional to 710.13, 1,060.31 and 578.64

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Solution

The fourth proportional to 710.13, 1,060.31 and 578.64 is: 863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.13 : 1,060.31 = 578.64 : x
  2. Step 2: Convert to fraction form
    710.13/1,060.31 = 578.64/x
  3. Step 3: Cross multiply
    710.13x = 1,060.31 × 578.64
  4. Step 4: Simplify right side
    710.13x = 613,537.78
  5. Step 5: Solve for x
    x = 613,537.78/710.13
  6. Step 6: Final answer
    x = 863.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.