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Finding the Fourth Proportional to 1,113.62, 1,670.61 and 497.31

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Solution

The fourth proportional to 1,113.62, 1,670.61 and 497.31 is: 746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.62 : 1,670.61 = 497.31 : x
  2. Step 2: Convert to fraction form
    1,113.62/1,670.61 = 497.31/x
  3. Step 3: Cross multiply
    1,113.62x = 1,670.61 × 497.31
  4. Step 4: Simplify right side
    1,113.62x = 830,806.66
  5. Step 5: Solve for x
    x = 830,806.66/1,113.62
  6. Step 6: Final answer
    x = 746.04

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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.