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Finding the Fourth Proportional to 556.04, 766.26 and 400.52

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Solution

The fourth proportional to 556.04, 766.26 and 400.52 is: 551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.04 : 766.26 = 400.52 : x
  2. Step 2: Convert to fraction form
    556.04/766.26 = 400.52/x
  3. Step 3: Cross multiply
    556.04x = 766.26 × 400.52
  4. Step 4: Simplify right side
    556.04x = 306,902.46
  5. Step 5: Solve for x
    x = 306,902.46/556.04
  6. Step 6: Final answer
    x = 551.94

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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.