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Finding the Fourth Proportional to 964, 1,331.40 and 652.96

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Solution

The fourth proportional to 964, 1,331.40 and 652.96 is: 901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    964 : 1,331.40 = 652.96 : x
  2. Step 2: Convert to fraction form
    964/1,331.40 = 652.96/x
  3. Step 3: Cross multiply
    964x = 1,331.40 × 652.96
  4. Step 4: Simplify right side
    964x = 869,350.94
  5. Step 5: Solve for x
    x = 869,350.94/964
  6. Step 6: Final answer
    x = 901.82

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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.