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Finding the Fourth Proportional to 873.99, 1,206.68 and 542.90

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Solution

The fourth proportional to 873.99, 1,206.68 and 542.90 is: 749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.99 : 1,206.68 = 542.90 : x
  2. Step 2: Convert to fraction form
    873.99/1,206.68 = 542.90/x
  3. Step 3: Cross multiply
    873.99x = 1,206.68 × 542.90
  4. Step 4: Simplify right side
    873.99x = 655,106.87
  5. Step 5: Solve for x
    x = 655,106.87/873.99
  6. Step 6: Final answer
    x = 749.56

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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.