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Finding the Fourth Proportional to 1,052.44, 1,578 and 402.40

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Solution

The fourth proportional to 1,052.44, 1,578 and 402.40 is: 603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.44 : 1,578 = 402.40 : x
  2. Step 2: Convert to fraction form
    1,052.44/1,578 = 402.40/x
  3. Step 3: Cross multiply
    1,052.44x = 1,578 × 402.40
  4. Step 4: Simplify right side
    1,052.44x = 634,987.20
  5. Step 5: Solve for x
    x = 634,987.20/1,052.44
  6. Step 6: Final answer
    x = 603.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.