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Finding the Fourth Proportional to 521.97, 720.01 and 312.01

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Solution

The fourth proportional to 521.97, 720.01 and 312.01 is: 430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.97 : 720.01 = 312.01 : x
  2. Step 2: Convert to fraction form
    521.97/720.01 = 312.01/x
  3. Step 3: Cross multiply
    521.97x = 720.01 × 312.01
  4. Step 4: Simplify right side
    521.97x = 224,650.32
  5. Step 5: Solve for x
    x = 224,650.32/521.97
  6. Step 6: Final answer
    x = 430.39

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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.