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Finding the Fourth Proportional to 760.58, 1,140.87 and 486.85

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Solution

The fourth proportional to 760.58, 1,140.87 and 486.85 is: 730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.58 : 1,140.87 = 486.85 : x
  2. Step 2: Convert to fraction form
    760.58/1,140.87 = 486.85/x
  3. Step 3: Cross multiply
    760.58x = 1,140.87 × 486.85
  4. Step 4: Simplify right side
    760.58x = 555,432.56
  5. Step 5: Solve for x
    x = 555,432.56/760.58
  6. Step 6: Final answer
    x = 730.28

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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.