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Finding the Fourth Proportional to 1,259.19, 1,888.88 and 393.50

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Solution

The fourth proportional to 1,259.19, 1,888.88 and 393.50 is: 590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.19 : 1,888.88 = 393.50 : x
  2. Step 2: Convert to fraction form
    1,259.19/1,888.88 = 393.50/x
  3. Step 3: Cross multiply
    1,259.19x = 1,888.88 × 393.50
  4. Step 4: Simplify right side
    1,259.19x = 743,274.28
  5. Step 5: Solve for x
    x = 743,274.28/1,259.19
  6. Step 6: Final answer
    x = 590.28

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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.