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Finding the Fourth Proportional to 551.89, 760.98 and 500.05

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Solution

The fourth proportional to 551.89, 760.98 and 500.05 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.89 : 760.98 = 500.05 : x
  2. Step 2: Convert to fraction form
    551.89/760.98 = 500.05/x
  3. Step 3: Cross multiply
    551.89x = 760.98 × 500.05
  4. Step 4: Simplify right side
    551.89x = 380,528.05
  5. Step 5: Solve for x
    x = 380,528.05/551.89
  6. Step 6: Final answer
    x = 689.50

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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.