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Finding the Fourth Proportional to 1,408.40, 2,111.76 and 542

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Solution

The fourth proportional to 1,408.40, 2,111.76 and 542 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.40 : 2,111.76 = 542 : x
  2. Step 2: Convert to fraction form
    1,408.40/2,111.76 = 542/x
  3. Step 3: Cross multiply
    1,408.40x = 2,111.76 × 542
  4. Step 4: Simplify right side
    1,408.40x = 1,144,573.92
  5. Step 5: Solve for x
    x = 1,144,573.92/1,408.40
  6. Step 6: Final answer
    x = 812.68

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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.