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Finding the Fourth Proportional to 1,041.26, 1,437.52 and 710.17

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Solution

The fourth proportional to 1,041.26, 1,437.52 and 710.17 is: 980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.26 : 1,437.52 = 710.17 : x
  2. Step 2: Convert to fraction form
    1,041.26/1,437.52 = 710.17/x
  3. Step 3: Cross multiply
    1,041.26x = 1,437.52 × 710.17
  4. Step 4: Simplify right side
    1,041.26x = 1,020,880.03
  5. Step 5: Solve for x
    x = 1,020,880.03/1,041.26
  6. Step 6: Final answer
    x = 980.43

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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.