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Finding the Fourth Proportional to 880.61, 1,215.32 and 600.74

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Solution

The fourth proportional to 880.61, 1,215.32 and 600.74 is: 829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.61 : 1,215.32 = 600.74 : x
  2. Step 2: Convert to fraction form
    880.61/1,215.32 = 600.74/x
  3. Step 3: Cross multiply
    880.61x = 1,215.32 × 600.74
  4. Step 4: Simplify right side
    880.61x = 730,094.88
  5. Step 5: Solve for x
    x = 730,094.88/880.61
  6. Step 6: Final answer
    x = 829.08

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Why These Related Problems?

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