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Finding the Fourth Proportional to 912.48, 1,259.12 and 498.48

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Solution

The fourth proportional to 912.48, 1,259.12 and 498.48 is: 687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.48 : 1,259.12 = 498.48 : x
  2. Step 2: Convert to fraction form
    912.48/1,259.12 = 498.48/x
  3. Step 3: Cross multiply
    912.48x = 1,259.12 × 498.48
  4. Step 4: Simplify right side
    912.48x = 627,646.14
  5. Step 5: Solve for x
    x = 627,646.14/912.48
  6. Step 6: Final answer
    x = 687.85

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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.