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Finding the Fourth Proportional to 712.10, 1,063.06 and 602.72

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Solution

The fourth proportional to 712.10, 1,063.06 and 602.72 is: 899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.10 : 1,063.06 = 602.72 : x
  2. Step 2: Convert to fraction form
    712.10/1,063.06 = 602.72/x
  3. Step 3: Cross multiply
    712.10x = 1,063.06 × 602.72
  4. Step 4: Simplify right side
    712.10x = 640,727.52
  5. Step 5: Solve for x
    x = 640,727.52/712.10
  6. Step 6: Final answer
    x = 899.77

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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.