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Finding the Fourth Proportional to 710.08, 1,057.97 and 670.29

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Solution

The fourth proportional to 710.08, 1,057.97 and 670.29 is: 998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.08 : 1,057.97 = 670.29 : x
  2. Step 2: Convert to fraction form
    710.08/1,057.97 = 670.29/x
  3. Step 3: Cross multiply
    710.08x = 1,057.97 × 670.29
  4. Step 4: Simplify right side
    710.08x = 709,146.71
  5. Step 5: Solve for x
    x = 709,146.71/710.08
  6. Step 6: Final answer
    x = 998.69

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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.