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Finding the Fourth Proportional to 1,638.29, 2,457.36 and 542.66

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Solution

The fourth proportional to 1,638.29, 2,457.36 and 542.66 is: 813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.29 : 2,457.36 = 542.66 : x
  2. Step 2: Convert to fraction form
    1,638.29/2,457.36 = 542.66/x
  3. Step 3: Cross multiply
    1,638.29x = 2,457.36 × 542.66
  4. Step 4: Simplify right side
    1,638.29x = 1,333,498.69
  5. Step 5: Solve for x
    x = 1,333,498.69/1,638.29
  6. Step 6: Final answer
    x = 813.96

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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.