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Finding the Fourth Proportional to 760.58, 1,142.60 and 656.78

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Solution

The fourth proportional to 760.58, 1,142.60 and 656.78 is: 986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.58 : 1,142.60 = 656.78 : x
  2. Step 2: Convert to fraction form
    760.58/1,142.60 = 656.78/x
  3. Step 3: Cross multiply
    760.58x = 1,142.60 × 656.78
  4. Step 4: Simplify right side
    760.58x = 750,436.40
  5. Step 5: Solve for x
    x = 750,436.40/760.58
  6. Step 6: Final answer
    x = 986.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.