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Finding the Fourth Proportional to 760.76, 1,142.22 and 579.32

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Solution

The fourth proportional to 760.76, 1,142.22 and 579.32 is: 869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.76 : 1,142.22 = 579.32 : x
  2. Step 2: Convert to fraction form
    760.76/1,142.22 = 579.32/x
  3. Step 3: Cross multiply
    760.76x = 1,142.22 × 579.32
  4. Step 4: Simplify right side
    760.76x = 661,710.89
  5. Step 5: Solve for x
    x = 661,710.89/760.76
  6. Step 6: Final answer
    x = 869.80

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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.