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Finding the Fourth Proportional to 1,259.49, 1,888.95 and 479.59

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Solution

The fourth proportional to 1,259.49, 1,888.95 and 479.59 is: 719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.49 : 1,888.95 = 479.59 : x
  2. Step 2: Convert to fraction form
    1,259.49/1,888.95 = 479.59/x
  3. Step 3: Cross multiply
    1,259.49x = 1,888.95 × 479.59
  4. Step 4: Simplify right side
    1,259.49x = 905,921.53
  5. Step 5: Solve for x
    x = 905,921.53/1,259.49
  6. Step 6: Final answer
    x = 719.28

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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.