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Finding the Fourth Proportional to 880.01, 1,319.88 and 302.75

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Solution

The fourth proportional to 880.01, 1,319.88 and 302.75 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.01 : 1,319.88 = 302.75 : x
  2. Step 2: Convert to fraction form
    880.01/1,319.88 = 302.75/x
  3. Step 3: Cross multiply
    880.01x = 1,319.88 × 302.75
  4. Step 4: Simplify right side
    880.01x = 399,593.67
  5. Step 5: Solve for x
    x = 399,593.67/880.01
  6. Step 6: Final answer
    x = 454.08

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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.