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Finding the Fourth Proportional to 1,529.98, 2,295.36 and 556.90

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Solution

The fourth proportional to 1,529.98, 2,295.36 and 556.90 is: 835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.98 : 2,295.36 = 556.90 : x
  2. Step 2: Convert to fraction form
    1,529.98/2,295.36 = 556.90/x
  3. Step 3: Cross multiply
    1,529.98x = 2,295.36 × 556.90
  4. Step 4: Simplify right side
    1,529.98x = 1,278,285.98
  5. Step 5: Solve for x
    x = 1,278,285.98/1,529.98
  6. Step 6: Final answer
    x = 835.49

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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.