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Finding the Fourth Proportional to 880.59, 1,320.45 and 295.39

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Solution

The fourth proportional to 880.59, 1,320.45 and 295.39 is: 442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.59 : 1,320.45 = 295.39 : x
  2. Step 2: Convert to fraction form
    880.59/1,320.45 = 295.39/x
  3. Step 3: Cross multiply
    880.59x = 1,320.45 × 295.39
  4. Step 4: Simplify right side
    880.59x = 390,047.73
  5. Step 5: Solve for x
    x = 390,047.73/880.59
  6. Step 6: Final answer
    x = 442.94

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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.