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Finding the Fourth Proportional to 565.72, 849.55 and 368.40

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Solution

The fourth proportional to 565.72, 849.55 and 368.40 is: 553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.72 : 849.55 = 368.40 : x
  2. Step 2: Convert to fraction form
    565.72/849.55 = 368.40/x
  3. Step 3: Cross multiply
    565.72x = 849.55 × 368.40
  4. Step 4: Simplify right side
    565.72x = 312,973.30
  5. Step 5: Solve for x
    x = 312,973.30/565.72
  6. Step 6: Final answer
    x = 553.23

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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.