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Finding the Fourth Proportional to 1,592.79, 2,389.59 and 619.17

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Solution

The fourth proportional to 1,592.79, 2,389.59 and 619.17 is: 928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.79 : 2,389.59 = 619.17 : x
  2. Step 2: Convert to fraction form
    1,592.79/2,389.59 = 619.17/x
  3. Step 3: Cross multiply
    1,592.79x = 2,389.59 × 619.17
  4. Step 4: Simplify right side
    1,592.79x = 1,479,562.44
  5. Step 5: Solve for x
    x = 1,479,562.44/1,592.79
  6. Step 6: Final answer
    x = 928.91

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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.