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Finding the Fourth Proportional to 873.68, 1,205.88 and 524.72

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Solution

The fourth proportional to 873.68, 1,205.88 and 524.72 is: 724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.68 : 1,205.88 = 524.72 : x
  2. Step 2: Convert to fraction form
    873.68/1,205.88 = 524.72/x
  3. Step 3: Cross multiply
    873.68x = 1,205.88 × 524.72
  4. Step 4: Simplify right side
    873.68x = 632,749.35
  5. Step 5: Solve for x
    x = 632,749.35/873.68
  6. Step 6: Final answer
    x = 724.23

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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.