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Finding the Fourth Proportional to 1,052.13, 1,577.13 and 434.98

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Solution

The fourth proportional to 1,052.13, 1,577.13 and 434.98 is: 652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.13 : 1,577.13 = 434.98 : x
  2. Step 2: Convert to fraction form
    1,052.13/1,577.13 = 434.98/x
  3. Step 3: Cross multiply
    1,052.13x = 1,577.13 × 434.98
  4. Step 4: Simplify right side
    1,052.13x = 686,020.01
  5. Step 5: Solve for x
    x = 686,020.01/1,052.13
  6. Step 6: Final answer
    x = 652.03

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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.