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Finding the Fourth Proportional to 717.64, 1,069.24 and 670.49

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Solution

The fourth proportional to 717.64, 1,069.24 and 670.49 is: 998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.64 : 1,069.24 = 670.49 : x
  2. Step 2: Convert to fraction form
    717.64/1,069.24 = 670.49/x
  3. Step 3: Cross multiply
    717.64x = 1,069.24 × 670.49
  4. Step 4: Simplify right side
    717.64x = 716,907.71
  5. Step 5: Solve for x
    x = 716,907.71/717.64
  6. Step 6: Final answer
    x = 998.98

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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.