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Finding the Fourth Proportional to 1,590.50, 2,385.89 and 436.25

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Solution

The fourth proportional to 1,590.50, 2,385.89 and 436.25 is: 654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.50 : 2,385.89 = 436.25 : x
  2. Step 2: Convert to fraction form
    1,590.50/2,385.89 = 436.25/x
  3. Step 3: Cross multiply
    1,590.50x = 2,385.89 × 436.25
  4. Step 4: Simplify right side
    1,590.50x = 1,040,844.51
  5. Step 5: Solve for x
    x = 1,040,844.51/1,590.50
  6. Step 6: Final answer
    x = 654.41

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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.