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Finding the Fourth Proportional to 851.71, 1,275.40 and 706.99

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Solution

The fourth proportional to 851.71, 1,275.40 and 706.99 is: 1,058.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.71 : 1,275.40 = 706.99 : x
  2. Step 2: Convert to fraction form
    851.71/1,275.40 = 706.99/x
  3. Step 3: Cross multiply
    851.71x = 1,275.40 × 706.99
  4. Step 4: Simplify right side
    851.71x = 901,695.05
  5. Step 5: Solve for x
    x = 901,695.05/851.71
  6. Step 6: Final answer
    x = 1,058.69

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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.