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Finding the Fourth Proportional to 1,052.86, 1,577.92 and 435.86

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Solution

The fourth proportional to 1,052.86, 1,577.92 and 435.86 is: 653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.86 : 1,577.92 = 435.86 : x
  2. Step 2: Convert to fraction form
    1,052.86/1,577.92 = 435.86/x
  3. Step 3: Cross multiply
    1,052.86x = 1,577.92 × 435.86
  4. Step 4: Simplify right side
    1,052.86x = 687,752.21
  5. Step 5: Solve for x
    x = 687,752.21/1,052.86
  6. Step 6: Final answer
    x = 653.22

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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.