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Finding the Fourth Proportional to 551.34, 761.58 and 421.02

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Solution

The fourth proportional to 551.34, 761.58 and 421.02 is: 581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.34 : 761.58 = 421.02 : x
  2. Step 2: Convert to fraction form
    551.34/761.58 = 421.02/x
  3. Step 3: Cross multiply
    551.34x = 761.58 × 421.02
  4. Step 4: Simplify right side
    551.34x = 320,640.41
  5. Step 5: Solve for x
    x = 320,640.41/551.34
  6. Step 6: Final answer
    x = 581.57

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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.