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Finding the Fourth Proportional to 760.76, 1,049.42 and 461.82

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Solution

The fourth proportional to 760.76, 1,049.42 and 461.82 is: 637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.76 : 1,049.42 = 461.82 : x
  2. Step 2: Convert to fraction form
    760.76/1,049.42 = 461.82/x
  3. Step 3: Cross multiply
    760.76x = 1,049.42 × 461.82
  4. Step 4: Simplify right side
    760.76x = 484,643.14
  5. Step 5: Solve for x
    x = 484,643.14/760.76
  6. Step 6: Final answer
    x = 637.05

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Find fourth proportional to 380.38, 524.71 and 230.91
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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.