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Finding the Fourth Proportional to 700.76, 1,046 and 651.24

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Solution

The fourth proportional to 700.76, 1,046 and 651.24 is: 972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.76 : 1,046 = 651.24 : x
  2. Step 2: Convert to fraction form
    700.76/1,046 = 651.24/x
  3. Step 3: Cross multiply
    700.76x = 1,046 × 651.24
  4. Step 4: Simplify right side
    700.76x = 681,197.04
  5. Step 5: Solve for x
    x = 681,197.04/700.76
  6. Step 6: Final answer
    x = 972.08

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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.