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Finding the Fourth Proportional to 1,280.49, 1,920.93 and 587.40

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Solution

The fourth proportional to 1,280.49, 1,920.93 and 587.40 is: 881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.49 : 1,920.93 = 587.40 : x
  2. Step 2: Convert to fraction form
    1,280.49/1,920.93 = 587.40/x
  3. Step 3: Cross multiply
    1,280.49x = 1,920.93 × 587.40
  4. Step 4: Simplify right side
    1,280.49x = 1,128,354.28
  5. Step 5: Solve for x
    x = 1,128,354.28/1,280.49
  6. Step 6: Final answer
    x = 881.19

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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.