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Finding the Fourth Proportional to 507.52, 700.41 and 420.04

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Solution

The fourth proportional to 507.52, 700.41 and 420.04 is: 579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 700.41 = 420.04 : x
  2. Step 2: Convert to fraction form
    507.52/700.41 = 420.04/x
  3. Step 3: Cross multiply
    507.52x = 700.41 × 420.04
  4. Step 4: Simplify right side
    507.52x = 294,200.22
  5. Step 5: Solve for x
    x = 294,200.22/507.52
  6. Step 6: Final answer
    x = 579.68

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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.