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Finding the Fourth Proportional to 760.78, 1,049.70 and 512.56

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Solution

The fourth proportional to 760.78, 1,049.70 and 512.56 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.78 : 1,049.70 = 512.56 : x
  2. Step 2: Convert to fraction form
    760.78/1,049.70 = 512.56/x
  3. Step 3: Cross multiply
    760.78x = 1,049.70 × 512.56
  4. Step 4: Simplify right side
    760.78x = 538,034.23
  5. Step 5: Solve for x
    x = 538,034.23/760.78
  6. Step 6: Final answer
    x = 707.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.