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Finding the Fourth Proportional to 704.64, 970.74 and 574.50

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Solution

The fourth proportional to 704.64, 970.74 and 574.50 is: 791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.64 : 970.74 = 574.50 : x
  2. Step 2: Convert to fraction form
    704.64/970.74 = 574.50/x
  3. Step 3: Cross multiply
    704.64x = 970.74 × 574.50
  4. Step 4: Simplify right side
    704.64x = 557,690.13
  5. Step 5: Solve for x
    x = 557,690.13/704.64
  6. Step 6: Final answer
    x = 791.45

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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.