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Finding the Fourth Proportional to 1,572.35, 2,357.92 and 461.54

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Solution

The fourth proportional to 1,572.35, 2,357.92 and 461.54 is: 692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.35 : 2,357.92 = 461.54 : x
  2. Step 2: Convert to fraction form
    1,572.35/2,357.92 = 461.54/x
  3. Step 3: Cross multiply
    1,572.35x = 2,357.92 × 461.54
  4. Step 4: Simplify right side
    1,572.35x = 1,088,279.14
  5. Step 5: Solve for x
    x = 1,088,279.14/1,572.35
  6. Step 6: Final answer
    x = 692.13

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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.