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Finding the Fourth Proportional to 718.35, 1,069.53 and 714.30

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Solution

The fourth proportional to 718.35, 1,069.53 and 714.30 is: 1,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.35 : 1,069.53 = 714.30 : x
  2. Step 2: Convert to fraction form
    718.35/1,069.53 = 714.30/x
  3. Step 3: Cross multiply
    718.35x = 1,069.53 × 714.30
  4. Step 4: Simplify right side
    718.35x = 763,965.28
  5. Step 5: Solve for x
    x = 763,965.28/718.35
  6. Step 6: Final answer
    x = 1,063.50

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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.