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Finding the Fourth Proportional to 520.02, 717.00 and 420.54

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Solution

The fourth proportional to 520.02, 717.00 and 420.54 is: 579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 717.00 = 420.54 : x
  2. Step 2: Convert to fraction form
    520.02/717.00 = 420.54/x
  3. Step 3: Cross multiply
    520.02x = 717.00 × 420.54
  4. Step 4: Simplify right side
    520.02x = 301,529.31
  5. Step 5: Solve for x
    x = 301,529.31/520.02
  6. Step 6: Final answer
    x = 579.84

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Double scale
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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.