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Finding the Fourth Proportional to 1,259.95, 1,889.48 and 479.74

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Solution

The fourth proportional to 1,259.95, 1,889.48 and 479.74 is: 719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.95 : 1,889.48 = 479.74 : x
  2. Step 2: Convert to fraction form
    1,259.95/1,889.48 = 479.74/x
  3. Step 3: Cross multiply
    1,259.95x = 1,889.48 × 479.74
  4. Step 4: Simplify right side
    1,259.95x = 906,459.14
  5. Step 5: Solve for x
    x = 906,459.14/1,259.95
  6. Step 6: Final answer
    x = 719.44

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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.