Home / 1,564.20-2,346.30-468.57

Finding the Fourth Proportional to 1,564.20, 2,346.30 and 468.57

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Solution

The fourth proportional to 1,564.20, 2,346.30 and 468.57 is: 702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.20 : 2,346.30 = 468.57 : x
  2. Step 2: Convert to fraction form
    1,564.20/2,346.30 = 468.57/x
  3. Step 3: Cross multiply
    1,564.20x = 2,346.30 × 468.57
  4. Step 4: Simplify right side
    1,564.20x = 1,099,405.79
  5. Step 5: Solve for x
    x = 1,099,405.79/1,564.20
  6. Step 6: Final answer
    x = 702.86

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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.