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Finding the Fourth Proportional to 806.48, 1,113.60 and 657.13

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Solution

The fourth proportional to 806.48, 1,113.60 and 657.13 is: 907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.48 : 1,113.60 = 657.13 : x
  2. Step 2: Convert to fraction form
    806.48/1,113.60 = 657.13/x
  3. Step 3: Cross multiply
    806.48x = 1,113.60 × 657.13
  4. Step 4: Simplify right side
    806.48x = 731,773.34
  5. Step 5: Solve for x
    x = 731,773.34/806.48
  6. Step 6: Final answer
    x = 907.37

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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.