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Finding the Fourth Proportional to 427.79, 586.50 and 420.00

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Solution

The fourth proportional to 427.79, 586.50 and 420.00 is: 575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.79 : 586.50 = 420.00 : x
  2. Step 2: Convert to fraction form
    427.79/586.50 = 420.00/x
  3. Step 3: Cross multiply
    427.79x = 586.50 × 420.00
  4. Step 4: Simplify right side
    427.79x = 246,330.42
  5. Step 5: Solve for x
    x = 246,330.42/427.79
  6. Step 6: Final answer
    x = 575.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.