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Finding the Fourth Proportional to 716.84, 1,069.25 and 651.24

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Solution

The fourth proportional to 716.84, 1,069.25 and 651.24 is: 971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.84 : 1,069.25 = 651.24 : x
  2. Step 2: Convert to fraction form
    716.84/1,069.25 = 651.24/x
  3. Step 3: Cross multiply
    716.84x = 1,069.25 × 651.24
  4. Step 4: Simplify right side
    716.84x = 696,338.37
  5. Step 5: Solve for x
    x = 696,338.37/716.84
  6. Step 6: Final answer
    x = 971.40

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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.