Home / 1,564.15-2,345.55-468.61

Finding the Fourth Proportional to 1,564.15, 2,345.55 and 468.61

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Solution

The fourth proportional to 1,564.15, 2,345.55 and 468.61 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.15 : 2,345.55 = 468.61 : x
  2. Step 2: Convert to fraction form
    1,564.15/2,345.55 = 468.61/x
  3. Step 3: Cross multiply
    1,564.15x = 2,345.55 × 468.61
  4. Step 4: Simplify right side
    1,564.15x = 1,099,148.19
  5. Step 5: Solve for x
    x = 1,099,148.19/1,564.15
  6. Step 6: Final answer
    x = 702.71

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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.