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Finding the Fourth Proportional to 1,052.02, 1,577.49 and 435.07

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Solution

The fourth proportional to 1,052.02, 1,577.49 and 435.07 is: 652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.02 : 1,577.49 = 435.07 : x
  2. Step 2: Convert to fraction form
    1,052.02/1,577.49 = 435.07/x
  3. Step 3: Cross multiply
    1,052.02x = 1,577.49 × 435.07
  4. Step 4: Simplify right side
    1,052.02x = 686,318.57
  5. Step 5: Solve for x
    x = 686,318.57/1,052.02
  6. Step 6: Final answer
    x = 652.38

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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.