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Finding the Fourth Proportional to 1,475.45, 2,210.90 and 550.77

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Solution

The fourth proportional to 1,475.45, 2,210.90 and 550.77 is: 825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.45 : 2,210.90 = 550.77 : x
  2. Step 2: Convert to fraction form
    1,475.45/2,210.90 = 550.77/x
  3. Step 3: Cross multiply
    1,475.45x = 2,210.90 × 550.77
  4. Step 4: Simplify right side
    1,475.45x = 1,217,686.35
  5. Step 5: Solve for x
    x = 1,217,686.35/1,475.45
  6. Step 6: Final answer
    x = 825.30

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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.