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Finding the Fourth Proportional to 646.88, 891.85 and 528.73

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Solution

The fourth proportional to 646.88, 891.85 and 528.73 is: 728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 891.85 = 528.73 : x
  2. Step 2: Convert to fraction form
    646.88/891.85 = 528.73/x
  3. Step 3: Cross multiply
    646.88x = 891.85 × 528.73
  4. Step 4: Simplify right side
    646.88x = 471,547.85
  5. Step 5: Solve for x
    x = 471,547.85/646.88
  6. Step 6: Final answer
    x = 728.96

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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.