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Finding the Fourth Proportional to 964.61, 1,329.83 and 610.35

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Solution

The fourth proportional to 964.61, 1,329.83 and 610.35 is: 841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.61 : 1,329.83 = 610.35 : x
  2. Step 2: Convert to fraction form
    964.61/1,329.83 = 610.35/x
  3. Step 3: Cross multiply
    964.61x = 1,329.83 × 610.35
  4. Step 4: Simplify right side
    964.61x = 811,658.69
  5. Step 5: Solve for x
    x = 811,658.69/964.61
  6. Step 6: Final answer
    x = 841.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.