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Finding the Fourth Proportional to 1,858.95, 2,788.80 and 542.70

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Solution

The fourth proportional to 1,858.95, 2,788.80 and 542.70 is: 814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.95 : 2,788.80 = 542.70 : x
  2. Step 2: Convert to fraction form
    1,858.95/2,788.80 = 542.70/x
  3. Step 3: Cross multiply
    1,858.95x = 2,788.80 × 542.70
  4. Step 4: Simplify right side
    1,858.95x = 1,513,481.76
  5. Step 5: Solve for x
    x = 1,513,481.76/1,858.95
  6. Step 6: Final answer
    x = 814.16

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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.