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Finding the Fourth Proportional to 565.29, 783.39 and 554.36

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Solution

The fourth proportional to 565.29, 783.39 and 554.36 is: 768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.29 : 783.39 = 554.36 : x
  2. Step 2: Convert to fraction form
    565.29/783.39 = 554.36/x
  3. Step 3: Cross multiply
    565.29x = 783.39 × 554.36
  4. Step 4: Simplify right side
    565.29x = 434,280.08
  5. Step 5: Solve for x
    x = 434,280.08/565.29
  6. Step 6: Final answer
    x = 768.24

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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.