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Finding the Fourth Proportional to 1,590.75, 2,385.53 and 550.48

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Solution

The fourth proportional to 1,590.75, 2,385.53 and 550.48 is: 825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.75 : 2,385.53 = 550.48 : x
  2. Step 2: Convert to fraction form
    1,590.75/2,385.53 = 550.48/x
  3. Step 3: Cross multiply
    1,590.75x = 2,385.53 × 550.48
  4. Step 4: Simplify right side
    1,590.75x = 1,313,186.55
  5. Step 5: Solve for x
    x = 1,313,186.55/1,590.75
  6. Step 6: Final answer
    x = 825.51

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1.5x scale

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.