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Finding the Fourth Proportional to 521.89, 720.13 and 312.06

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Solution

The fourth proportional to 521.89, 720.13 and 312.06 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.89 : 720.13 = 312.06 : x
  2. Step 2: Convert to fraction form
    521.89/720.13 = 312.06/x
  3. Step 3: Cross multiply
    521.89x = 720.13 × 312.06
  4. Step 4: Simplify right side
    521.89x = 224,723.77
  5. Step 5: Solve for x
    x = 224,723.77/521.89
  6. Step 6: Final answer
    x = 430.60

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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.