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Finding the Fourth Proportional to 873.85, 1,206.51 and 542.77

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Solution

The fourth proportional to 873.85, 1,206.51 and 542.77 is: 749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.85 : 1,206.51 = 542.77 : x
  2. Step 2: Convert to fraction form
    873.85/1,206.51 = 542.77/x
  3. Step 3: Cross multiply
    873.85x = 1,206.51 × 542.77
  4. Step 4: Simplify right side
    873.85x = 654,857.43
  5. Step 5: Solve for x
    x = 654,857.43/873.85
  6. Step 6: Final answer
    x = 749.39

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1.5x scale

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.