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Finding the Fourth Proportional to 970.85, 1,454.00 and 678.65

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Solution

The fourth proportional to 970.85, 1,454.00 and 678.65 is: 1,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.85 : 1,454.00 = 678.65 : x
  2. Step 2: Convert to fraction form
    970.85/1,454.00 = 678.65/x
  3. Step 3: Cross multiply
    970.85x = 1,454.00 × 678.65
  4. Step 4: Simplify right side
    970.85x = 986,750.25
  5. Step 5: Solve for x
    x = 986,750.25/970.85
  6. Step 6: Final answer
    x = 1,016.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.