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Finding the Fourth Proportional to 760.76, 1,049.86 and 461.92

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Solution

The fourth proportional to 760.76, 1,049.86 and 461.92 is: 637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.76 : 1,049.86 = 461.92 : x
  2. Step 2: Convert to fraction form
    760.76/1,049.86 = 461.92/x
  3. Step 3: Cross multiply
    760.76x = 1,049.86 × 461.92
  4. Step 4: Simplify right side
    760.76x = 484,949.02
  5. Step 5: Solve for x
    x = 484,949.02/760.76
  6. Step 6: Final answer
    x = 637.45

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Find fourth proportional to 380.38, 524.93 and 230.96
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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.