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Finding the Fourth Proportional to 675.70, 931.91 and 477.20

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Solution

The fourth proportional to 675.70, 931.91 and 477.20 is: 658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.70 : 931.91 = 477.20 : x
  2. Step 2: Convert to fraction form
    675.70/931.91 = 477.20/x
  3. Step 3: Cross multiply
    675.70x = 931.91 × 477.20
  4. Step 4: Simplify right side
    675.70x = 444,707.40
  5. Step 5: Solve for x
    x = 444,707.40/675.70
  6. Step 6: Final answer
    x = 658.15

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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.