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Finding the Fourth Proportional to 1,402.60, 2,103.70 and 478.19

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Solution

The fourth proportional to 1,402.60, 2,103.70 and 478.19 is: 717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.60 : 2,103.70 = 478.19 : x
  2. Step 2: Convert to fraction form
    1,402.60/2,103.70 = 478.19/x
  3. Step 3: Cross multiply
    1,402.60x = 2,103.70 × 478.19
  4. Step 4: Simplify right side
    1,402.60x = 1,005,968.30
  5. Step 5: Solve for x
    x = 1,005,968.30/1,402.60
  6. Step 6: Final answer
    x = 717.22

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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.