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Finding the Fourth Proportional to 677.24, 1,014.48 and 574.72

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Solution

The fourth proportional to 677.24, 1,014.48 and 574.72 is: 860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.24 : 1,014.48 = 574.72 : x
  2. Step 2: Convert to fraction form
    677.24/1,014.48 = 574.72/x
  3. Step 3: Cross multiply
    677.24x = 1,014.48 × 574.72
  4. Step 4: Simplify right side
    677.24x = 583,041.95
  5. Step 5: Solve for x
    x = 583,041.95/677.24
  6. Step 6: Final answer
    x = 860.91

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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.