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Finding the Fourth Proportional to 521.65, 720.90 and 466.29

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Solution

The fourth proportional to 521.65, 720.90 and 466.29 is: 644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.65 : 720.90 = 466.29 : x
  2. Step 2: Convert to fraction form
    521.65/720.90 = 466.29/x
  3. Step 3: Cross multiply
    521.65x = 720.90 × 466.29
  4. Step 4: Simplify right side
    521.65x = 336,148.46
  5. Step 5: Solve for x
    x = 336,148.46/521.65
  6. Step 6: Final answer
    x = 644.39

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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.