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Finding the Fourth Proportional to 679.91, 1,014.93 and 597.90

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Solution

The fourth proportional to 679.91, 1,014.93 and 597.90 is: 892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.91 : 1,014.93 = 597.90 : x
  2. Step 2: Convert to fraction form
    679.91/1,014.93 = 597.90/x
  3. Step 3: Cross multiply
    679.91x = 1,014.93 × 597.90
  4. Step 4: Simplify right side
    679.91x = 606,826.65
  5. Step 5: Solve for x
    x = 606,826.65/679.91
  6. Step 6: Final answer
    x = 892.52

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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.