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Finding the Fourth Proportional to 964.04, 1,445.10 and 617.57

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Solution

The fourth proportional to 964.04, 1,445.10 and 617.57 is: 925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.04 : 1,445.10 = 617.57 : x
  2. Step 2: Convert to fraction form
    964.04/1,445.10 = 617.57/x
  3. Step 3: Cross multiply
    964.04x = 1,445.10 × 617.57
  4. Step 4: Simplify right side
    964.04x = 892,450.41
  5. Step 5: Solve for x
    x = 892,450.41/964.04
  6. Step 6: Final answer
    x = 925.74

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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.