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Finding the Fourth Proportional to 1,023.42, 1,402.48 and 925.01

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Solution

The fourth proportional to 1,023.42, 1,402.48 and 925.01 is: 1,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.42 : 1,402.48 = 925.01 : x
  2. Step 2: Convert to fraction form
    1,023.42/1,402.48 = 925.01/x
  3. Step 3: Cross multiply
    1,023.42x = 1,402.48 × 925.01
  4. Step 4: Simplify right side
    1,023.42x = 1,297,308.02
  5. Step 5: Solve for x
    x = 1,297,308.02/1,023.42
  6. Step 6: Final answer
    x = 1,267.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.