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Finding the Fourth Proportional to 1,579, 2,368.52 and 424.76

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Solution

The fourth proportional to 1,579, 2,368.52 and 424.76 is: 637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579 : 2,368.52 = 424.76 : x
  2. Step 2: Convert to fraction form
    1,579/2,368.52 = 424.76/x
  3. Step 3: Cross multiply
    1,579x = 2,368.52 × 424.76
  4. Step 4: Simplify right side
    1,579x = 1,006,052.56
  5. Step 5: Solve for x
    x = 1,006,052.56/1,579
  6. Step 6: Final answer
    x = 637.15

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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.