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Finding the Fourth Proportional to 760.47, 1,049.45 and 411.16

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Solution

The fourth proportional to 760.47, 1,049.45 and 411.16 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.47 : 1,049.45 = 411.16 : x
  2. Step 2: Convert to fraction form
    760.47/1,049.45 = 411.16/x
  3. Step 3: Cross multiply
    760.47x = 1,049.45 × 411.16
  4. Step 4: Simplify right side
    760.47x = 431,489.24
  5. Step 5: Solve for x
    x = 431,489.24/760.47
  6. Step 6: Final answer
    x = 567.40

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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.