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Finding the Fourth Proportional to 567.99, 783.41 and 400.19

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Solution

The fourth proportional to 567.99, 783.41 and 400.19 is: 551.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.99 : 783.41 = 400.19 : x
  2. Step 2: Convert to fraction form
    567.99/783.41 = 400.19/x
  3. Step 3: Cross multiply
    567.99x = 783.41 × 400.19
  4. Step 4: Simplify right side
    567.99x = 313,506.93
  5. Step 5: Solve for x
    x = 313,506.93/567.99
  6. Step 6: Final answer
    x = 551.96

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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.