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Finding the Fourth Proportional to 1,052.01, 1,577.09 and 402.32

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Solution

The fourth proportional to 1,052.01, 1,577.09 and 402.32 is: 603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.01 : 1,577.09 = 402.32 : x
  2. Step 2: Convert to fraction form
    1,052.01/1,577.09 = 402.32/x
  3. Step 3: Cross multiply
    1,052.01x = 1,577.09 × 402.32
  4. Step 4: Simplify right side
    1,052.01x = 634,484.95
  5. Step 5: Solve for x
    x = 634,484.95/1,052.01
  6. Step 6: Final answer
    x = 603.12

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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.