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Finding the Fourth Proportional to 1,064.66, 1,466.90 and 714.74

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Solution

The fourth proportional to 1,064.66, 1,466.90 and 714.74 is: 984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.66 : 1,466.90 = 714.74 : x
  2. Step 2: Convert to fraction form
    1,064.66/1,466.90 = 714.74/x
  3. Step 3: Cross multiply
    1,064.66x = 1,466.90 × 714.74
  4. Step 4: Simplify right side
    1,064.66x = 1,048,452.11
  5. Step 5: Solve for x
    x = 1,048,452.11/1,064.66
  6. Step 6: Final answer
    x = 984.78

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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.