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Finding the Fourth Proportional to 1,394.59, 1,925 and 1,002.76

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Solution

The fourth proportional to 1,394.59, 1,925 and 1,002.76 is: 1,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.59 : 1,925 = 1,002.76 : x
  2. Step 2: Convert to fraction form
    1,394.59/1,925 = 1,002.76/x
  3. Step 3: Cross multiply
    1,394.59x = 1,925 × 1,002.76
  4. Step 4: Simplify right side
    1,394.59x = 1,930,313
  5. Step 5: Solve for x
    x = 1,930,313/1,394.59
  6. Step 6: Final answer
    x = 1,384.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.