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Finding the Fourth Proportional to 551.79, 826.62 and 307.57

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Solution

The fourth proportional to 551.79, 826.62 and 307.57 is: 460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.79 : 826.62 = 307.57 : x
  2. Step 2: Convert to fraction form
    551.79/826.62 = 307.57/x
  3. Step 3: Cross multiply
    551.79x = 826.62 × 307.57
  4. Step 4: Simplify right side
    551.79x = 254,243.51
  5. Step 5: Solve for x
    x = 254,243.51/551.79
  6. Step 6: Final answer
    x = 460.76

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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.