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Finding the Fourth Proportional to 743.23, 1,117.38 and 607.26

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Solution

The fourth proportional to 743.23, 1,117.38 and 607.26 is: 912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.23 : 1,117.38 = 607.26 : x
  2. Step 2: Convert to fraction form
    743.23/1,117.38 = 607.26/x
  3. Step 3: Cross multiply
    743.23x = 1,117.38 × 607.26
  4. Step 4: Simplify right side
    743.23x = 678,543.23
  5. Step 5: Solve for x
    x = 678,543.23/743.23
  6. Step 6: Final answer
    x = 912.96

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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.