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Finding the Fourth Proportional to 1,073, 1,479.73 and 700.27

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Solution

The fourth proportional to 1,073, 1,479.73 and 700.27 is: 965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073 : 1,479.73 = 700.27 : x
  2. Step 2: Convert to fraction form
    1,073/1,479.73 = 700.27/x
  3. Step 3: Cross multiply
    1,073x = 1,479.73 × 700.27
  4. Step 4: Simplify right side
    1,073x = 1,036,199.63
  5. Step 5: Solve for x
    x = 1,036,199.63/1,073
  6. Step 6: Final answer
    x = 965.70

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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.