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Finding the Fourth Proportional to 507.16, 760.74 and 421.48

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Solution

The fourth proportional to 507.16, 760.74 and 421.48 is: 632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.16 : 760.74 = 421.48 : x
  2. Step 2: Convert to fraction form
    507.16/760.74 = 421.48/x
  3. Step 3: Cross multiply
    507.16x = 760.74 × 421.48
  4. Step 4: Simplify right side
    507.16x = 320,636.70
  5. Step 5: Solve for x
    x = 320,636.70/507.16
  6. Step 6: Final answer
    x = 632.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.