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Finding the Fourth Proportional to 522.30, 720.36 and 473.16

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Solution

The fourth proportional to 522.30, 720.36 and 473.16 is: 652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.30 : 720.36 = 473.16 : x
  2. Step 2: Convert to fraction form
    522.30/720.36 = 473.16/x
  3. Step 3: Cross multiply
    522.30x = 720.36 × 473.16
  4. Step 4: Simplify right side
    522.30x = 340,845.54
  5. Step 5: Solve for x
    x = 340,845.54/522.30
  6. Step 6: Final answer
    x = 652.59

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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.