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Finding the Fourth Proportional to 710.27, 1,064.75 and 651.88

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Solution

The fourth proportional to 710.27, 1,064.75 and 651.88 is: 977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.27 : 1,064.75 = 651.88 : x
  2. Step 2: Convert to fraction form
    710.27/1,064.75 = 651.88/x
  3. Step 3: Cross multiply
    710.27x = 1,064.75 × 651.88
  4. Step 4: Simplify right side
    710.27x = 694,080.65
  5. Step 5: Solve for x
    x = 694,080.65/710.27
  6. Step 6: Final answer
    x = 977.21

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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.