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Finding the Fourth Proportional to 684.76, 1,018.45 and 671.69

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Solution

The fourth proportional to 684.76, 1,018.45 and 671.69 is: 999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.76 : 1,018.45 = 671.69 : x
  2. Step 2: Convert to fraction form
    684.76/1,018.45 = 671.69/x
  3. Step 3: Cross multiply
    684.76x = 1,018.45 × 671.69
  4. Step 4: Simplify right side
    684.76x = 684,082.68
  5. Step 5: Solve for x
    x = 684,082.68/684.76
  6. Step 6: Final answer
    x = 999.01

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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.