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Finding the Fourth Proportional to 1,582.59, 2,373.59 and 428.07

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Solution

The fourth proportional to 1,582.59, 2,373.59 and 428.07 is: 642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.59 : 2,373.59 = 428.07 : x
  2. Step 2: Convert to fraction form
    1,582.59/2,373.59 = 428.07/x
  3. Step 3: Cross multiply
    1,582.59x = 2,373.59 × 428.07
  4. Step 4: Simplify right side
    1,582.59x = 1,016,060.53
  5. Step 5: Solve for x
    x = 1,016,060.53/1,582.59
  6. Step 6: Final answer
    x = 642.02

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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.