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Finding the Fourth Proportional to 680.56, 1,014.86 and 594.16

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Solution

The fourth proportional to 680.56, 1,014.86 and 594.16 is: 886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.56 : 1,014.86 = 594.16 : x
  2. Step 2: Convert to fraction form
    680.56/1,014.86 = 594.16/x
  3. Step 3: Cross multiply
    680.56x = 1,014.86 × 594.16
  4. Step 4: Simplify right side
    680.56x = 602,989.22
  5. Step 5: Solve for x
    x = 602,989.22/680.56
  6. Step 6: Final answer
    x = 886.02

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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.