Home / 1,582.55-2,373.81-428.30

Finding the Fourth Proportional to 1,582.55, 2,373.81 and 428.30

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Solution

The fourth proportional to 1,582.55, 2,373.81 and 428.30 is: 642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.55 : 2,373.81 = 428.30 : x
  2. Step 2: Convert to fraction form
    1,582.55/2,373.81 = 428.30/x
  3. Step 3: Cross multiply
    1,582.55x = 2,373.81 × 428.30
  4. Step 4: Simplify right side
    1,582.55x = 1,016,708.76
  5. Step 5: Solve for x
    x = 1,016,708.76/1,582.55
  6. Step 6: Final answer
    x = 642.45

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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.