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Finding the Fourth Proportional to 704.80, 973.20 and 472.96

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Solution

The fourth proportional to 704.80, 973.20 and 472.96 is: 653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.80 : 973.20 = 472.96 : x
  2. Step 2: Convert to fraction form
    704.80/973.20 = 472.96/x
  3. Step 3: Cross multiply
    704.80x = 973.20 × 472.96
  4. Step 4: Simplify right side
    704.80x = 460,284.67
  5. Step 5: Solve for x
    x = 460,284.67/704.80
  6. Step 6: Final answer
    x = 653.07

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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.