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Finding the Fourth Proportional to 675.69, 931.86 and 466.20

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Solution

The fourth proportional to 675.69, 931.86 and 466.20 is: 642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.69 : 931.86 = 466.20 : x
  2. Step 2: Convert to fraction form
    675.69/931.86 = 466.20/x
  3. Step 3: Cross multiply
    675.69x = 931.86 × 466.20
  4. Step 4: Simplify right side
    675.69x = 434,433.13
  5. Step 5: Solve for x
    x = 434,433.13/675.69
  6. Step 6: Final answer
    x = 642.95

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1.5x scale

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.