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Finding the Fourth Proportional to 870.26, 1,303.04 and 596.88

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Solution

The fourth proportional to 870.26, 1,303.04 and 596.88 is: 893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.26 : 1,303.04 = 596.88 : x
  2. Step 2: Convert to fraction form
    870.26/1,303.04 = 596.88/x
  3. Step 3: Cross multiply
    870.26x = 1,303.04 × 596.88
  4. Step 4: Simplify right side
    870.26x = 777,758.52
  5. Step 5: Solve for x
    x = 777,758.52/870.26
  6. Step 6: Final answer
    x = 893.71

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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.