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Finding the Fourth Proportional to 1,280.20, 1,920.16 and 586.92

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Solution

The fourth proportional to 1,280.20, 1,920.16 and 586.92 is: 880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.20 : 1,920.16 = 586.92 : x
  2. Step 2: Convert to fraction form
    1,280.20/1,920.16 = 586.92/x
  3. Step 3: Cross multiply
    1,280.20x = 1,920.16 × 586.92
  4. Step 4: Simplify right side
    1,280.20x = 1,126,980.31
  5. Step 5: Solve for x
    x = 1,126,980.31/1,280.20
  6. Step 6: Final answer
    x = 880.32

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1.5x scale

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.