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Finding the Fourth Proportional to 1,068.70, 1,475.08 and 714.66

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Solution

The fourth proportional to 1,068.70, 1,475.08 and 714.66 is: 986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.70 : 1,475.08 = 714.66 : x
  2. Step 2: Convert to fraction form
    1,068.70/1,475.08 = 714.66/x
  3. Step 3: Cross multiply
    1,068.70x = 1,475.08 × 714.66
  4. Step 4: Simplify right side
    1,068.70x = 1,054,180.67
  5. Step 5: Solve for x
    x = 1,054,180.67/1,068.70
  6. Step 6: Final answer
    x = 986.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.