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Finding the Fourth Proportional to 1,589.79, 2,384.38 and 602.70

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Solution

The fourth proportional to 1,589.79, 2,384.38 and 602.70 is: 903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.79 : 2,384.38 = 602.70 : x
  2. Step 2: Convert to fraction form
    1,589.79/2,384.38 = 602.70/x
  3. Step 3: Cross multiply
    1,589.79x = 2,384.38 × 602.70
  4. Step 4: Simplify right side
    1,589.79x = 1,437,065.83
  5. Step 5: Solve for x
    x = 1,437,065.83/1,589.79
  6. Step 6: Final answer
    x = 903.93

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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.