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Finding the Fourth Proportional to 1,282.48, 1,920.72 and 631.12

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Solution

The fourth proportional to 1,282.48, 1,920.72 and 631.12 is: 945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.48 : 1,920.72 = 631.12 : x
  2. Step 2: Convert to fraction form
    1,282.48/1,920.72 = 631.12/x
  3. Step 3: Cross multiply
    1,282.48x = 1,920.72 × 631.12
  4. Step 4: Simplify right side
    1,282.48x = 1,212,204.81
  5. Step 5: Solve for x
    x = 1,212,204.81/1,282.48
  6. Step 6: Final answer
    x = 945.20

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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.