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Finding the Fourth Proportional to 1,283.80, 1,925.70 and 931.45

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Solution

The fourth proportional to 1,283.80, 1,925.70 and 931.45 is: 1,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.80 : 1,925.70 = 931.45 : x
  2. Step 2: Convert to fraction form
    1,283.80/1,925.70 = 931.45/x
  3. Step 3: Cross multiply
    1,283.80x = 1,925.70 × 931.45
  4. Step 4: Simplify right side
    1,283.80x = 1,793,693.27
  5. Step 5: Solve for x
    x = 1,793,693.27/1,283.80
  6. Step 6: Final answer
    x = 1,397.18

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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.