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Finding the Fourth Proportional to 1,070.57, 1,607.31 and 740.72

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Solution

The fourth proportional to 1,070.57, 1,607.31 and 740.72 is: 1,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.57 : 1,607.31 = 740.72 : x
  2. Step 2: Convert to fraction form
    1,070.57/1,607.31 = 740.72/x
  3. Step 3: Cross multiply
    1,070.57x = 1,607.31 × 740.72
  4. Step 4: Simplify right side
    1,070.57x = 1,190,566.66
  5. Step 5: Solve for x
    x = 1,190,566.66/1,070.57
  6. Step 6: Final answer
    x = 1,112.09

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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.