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Finding the Fourth Proportional to 812.37, 1,120.76 and 497.48

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Solution

The fourth proportional to 812.37, 1,120.76 and 497.48 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.37 : 1,120.76 = 497.48 : x
  2. Step 2: Convert to fraction form
    812.37/1,120.76 = 497.48/x
  3. Step 3: Cross multiply
    812.37x = 1,120.76 × 497.48
  4. Step 4: Simplify right side
    812.37x = 557,551.56
  5. Step 5: Solve for x
    x = 557,551.56/812.37
  6. Step 6: Final answer
    x = 686.32

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Half scale
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Double scale
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1.5x scale

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.