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Finding the Fourth Proportional to 518.01, 715.46 and 420.27

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Solution

The fourth proportional to 518.01, 715.46 and 420.27 is: 580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.01 : 715.46 = 420.27 : x
  2. Step 2: Convert to fraction form
    518.01/715.46 = 420.27/x
  3. Step 3: Cross multiply
    518.01x = 715.46 × 420.27
  4. Step 4: Simplify right side
    518.01x = 300,686.37
  5. Step 5: Solve for x
    x = 300,686.37/518.01
  6. Step 6: Final answer
    x = 580.46

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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.