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Finding the Fourth Proportional to 743.10, 1,120.02 and 710.16

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Solution

The fourth proportional to 743.10, 1,120.02 and 710.16 is: 1,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.10 : 1,120.02 = 710.16 : x
  2. Step 2: Convert to fraction form
    743.10/1,120.02 = 710.16/x
  3. Step 3: Cross multiply
    743.10x = 1,120.02 × 710.16
  4. Step 4: Simplify right side
    743.10x = 795,393.40
  5. Step 5: Solve for x
    x = 795,393.40/743.10
  6. Step 6: Final answer
    x = 1,070.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.