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Finding the Fourth Proportional to 1,051.60, 1,452.72 and 1,008.40

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Solution

The fourth proportional to 1,051.60, 1,452.72 and 1,008.40 is: 1,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.60 : 1,452.72 = 1,008.40 : x
  2. Step 2: Convert to fraction form
    1,051.60/1,452.72 = 1,008.40/x
  3. Step 3: Cross multiply
    1,051.60x = 1,452.72 × 1,008.40
  4. Step 4: Simplify right side
    1,051.60x = 1,464,922.85
  5. Step 5: Solve for x
    x = 1,464,922.85/1,051.60
  6. Step 6: Final answer
    x = 1,393.04

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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.