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Finding the Fourth Proportional to 1,280.42, 1,920.66 and 500.39

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Solution

The fourth proportional to 1,280.42, 1,920.66 and 500.39 is: 750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.42 : 1,920.66 = 500.39 : x
  2. Step 2: Convert to fraction form
    1,280.42/1,920.66 = 500.39/x
  3. Step 3: Cross multiply
    1,280.42x = 1,920.66 × 500.39
  4. Step 4: Simplify right side
    1,280.42x = 961,088.40
  5. Step 5: Solve for x
    x = 961,088.40/1,280.42
  6. Step 6: Final answer
    x = 750.60

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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.