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Finding the Fourth Proportional to 1,259.20, 1,888.80 and 870.40

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Solution

The fourth proportional to 1,259.20, 1,888.80 and 870.40 is: 1,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.20 : 1,888.80 = 870.40 : x
  2. Step 2: Convert to fraction form
    1,259.20/1,888.80 = 870.40/x
  3. Step 3: Cross multiply
    1,259.20x = 1,888.80 × 870.40
  4. Step 4: Simplify right side
    1,259.20x = 1,644,011.52
  5. Step 5: Solve for x
    x = 1,644,011.52/1,259.20
  6. Step 6: Final answer
    x = 1,305.60

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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.