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Finding the Fourth Proportional to 545.81, 817.67 and 429.65

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Solution

The fourth proportional to 545.81, 817.67 and 429.65 is: 643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.81 : 817.67 = 429.65 : x
  2. Step 2: Convert to fraction form
    545.81/817.67 = 429.65/x
  3. Step 3: Cross multiply
    545.81x = 817.67 × 429.65
  4. Step 4: Simplify right side
    545.81x = 351,308.90
  5. Step 5: Solve for x
    x = 351,308.90/545.81
  6. Step 6: Final answer
    x = 643.64

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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.