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Finding the Fourth Proportional to 704.97, 973.35 and 469.13

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Solution

The fourth proportional to 704.97, 973.35 and 469.13 is: 647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.97 : 973.35 = 469.13 : x
  2. Step 2: Convert to fraction form
    704.97/973.35 = 469.13/x
  3. Step 3: Cross multiply
    704.97x = 973.35 × 469.13
  4. Step 4: Simplify right side
    704.97x = 456,622.82
  5. Step 5: Solve for x
    x = 456,622.82/704.97
  6. Step 6: Final answer
    x = 647.72

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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.