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Finding the Fourth Proportional to 964.17, 1,437.08 and 890.19

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Solution

The fourth proportional to 964.17, 1,437.08 and 890.19 is: 1,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.17 : 1,437.08 = 890.19 : x
  2. Step 2: Convert to fraction form
    964.17/1,437.08 = 890.19/x
  3. Step 3: Cross multiply
    964.17x = 1,437.08 × 890.19
  4. Step 4: Simplify right side
    964.17x = 1,279,269.79
  5. Step 5: Solve for x
    x = 1,279,269.79/964.17
  6. Step 6: Final answer
    x = 1,326.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.