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Finding the Fourth Proportional to 1,259.90, 1,890.07 and 437.95

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Solution

The fourth proportional to 1,259.90, 1,890.07 and 437.95 is: 657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.90 : 1,890.07 = 437.95 : x
  2. Step 2: Convert to fraction form
    1,259.90/1,890.07 = 437.95/x
  3. Step 3: Cross multiply
    1,259.90x = 1,890.07 × 437.95
  4. Step 4: Simplify right side
    1,259.90x = 827,757.42
  5. Step 5: Solve for x
    x = 827,757.42/1,259.90
  6. Step 6: Final answer
    x = 657.00

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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.