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Finding the Fourth Proportional to 711.42, 1,062.66 and 602.16

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Solution

The fourth proportional to 711.42, 1,062.66 and 602.16 is: 899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.42 : 1,062.66 = 602.16 : x
  2. Step 2: Convert to fraction form
    711.42/1,062.66 = 602.16/x
  3. Step 3: Cross multiply
    711.42x = 1,062.66 × 602.16
  4. Step 4: Simplify right side
    711.42x = 639,891.35
  5. Step 5: Solve for x
    x = 639,891.35/711.42
  6. Step 6: Final answer
    x = 899.46

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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.