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Finding the Fourth Proportional to 970.79, 1,461.86 and 698.78

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Solution

The fourth proportional to 970.79, 1,461.86 and 698.78 is: 1,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.79 : 1,461.86 = 698.78 : x
  2. Step 2: Convert to fraction form
    970.79/1,461.86 = 698.78/x
  3. Step 3: Cross multiply
    970.79x = 1,461.86 × 698.78
  4. Step 4: Simplify right side
    970.79x = 1,021,507.73
  5. Step 5: Solve for x
    x = 1,021,507.73/970.79
  6. Step 6: Final answer
    x = 1,052.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.