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Finding the Fourth Proportional to 1,726.05, 2,590.02 and 556.28

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Solution

The fourth proportional to 1,726.05, 2,590.02 and 556.28 is: 834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.05 : 2,590.02 = 556.28 : x
  2. Step 2: Convert to fraction form
    1,726.05/2,590.02 = 556.28/x
  3. Step 3: Cross multiply
    1,726.05x = 2,590.02 × 556.28
  4. Step 4: Simplify right side
    1,726.05x = 1,440,763.38
  5. Step 5: Solve for x
    x = 1,440,763.38/1,726.05
  6. Step 6: Final answer
    x = 834.72

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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.