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Finding the Fourth Proportional to 1,042.49, 1,437.49 and 710.25

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Solution

The fourth proportional to 1,042.49, 1,437.49 and 710.25 is: 979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.49 : 1,437.49 = 710.25 : x
  2. Step 2: Convert to fraction form
    1,042.49/1,437.49 = 710.25/x
  3. Step 3: Cross multiply
    1,042.49x = 1,437.49 × 710.25
  4. Step 4: Simplify right side
    1,042.49x = 1,020,973.72
  5. Step 5: Solve for x
    x = 1,020,973.72/1,042.49
  6. Step 6: Final answer
    x = 979.36

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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.