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Finding the Fourth Proportional to 704.68, 971.86 and 528.05

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Solution

The fourth proportional to 704.68, 971.86 and 528.05 is: 728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.68 : 971.86 = 528.05 : x
  2. Step 2: Convert to fraction form
    704.68/971.86 = 528.05/x
  3. Step 3: Cross multiply
    704.68x = 971.86 × 528.05
  4. Step 4: Simplify right side
    704.68x = 513,193.76
  5. Step 5: Solve for x
    x = 513,193.76/704.68
  6. Step 6: Final answer
    x = 728.27

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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.