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Finding the Fourth Proportional to 551.77, 765.34 and 532.07

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Solution

The fourth proportional to 551.77, 765.34 and 532.07 is: 738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.77 : 765.34 = 532.07 : x
  2. Step 2: Convert to fraction form
    551.77/765.34 = 532.07/x
  3. Step 3: Cross multiply
    551.77x = 765.34 × 532.07
  4. Step 4: Simplify right side
    551.77x = 407,214.45
  5. Step 5: Solve for x
    x = 407,214.45/551.77
  6. Step 6: Final answer
    x = 738.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.