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Finding the Fourth Proportional to 672.22, 1,002.74 and 570.16

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Solution

The fourth proportional to 672.22, 1,002.74 and 570.16 is: 850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.22 : 1,002.74 = 570.16 : x
  2. Step 2: Convert to fraction form
    672.22/1,002.74 = 570.16/x
  3. Step 3: Cross multiply
    672.22x = 1,002.74 × 570.16
  4. Step 4: Simplify right side
    672.22x = 571,722.24
  5. Step 5: Solve for x
    x = 571,722.24/672.22
  6. Step 6: Final answer
    x = 850.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.