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Finding the Fourth Proportional to 531.65, 732.83 and 419.43

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Solution

The fourth proportional to 531.65, 732.83 and 419.43 is: 578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.65 : 732.83 = 419.43 : x
  2. Step 2: Convert to fraction form
    531.65/732.83 = 419.43/x
  3. Step 3: Cross multiply
    531.65x = 732.83 × 419.43
  4. Step 4: Simplify right side
    531.65x = 307,368.79
  5. Step 5: Solve for x
    x = 307,368.79/531.65
  6. Step 6: Final answer
    x = 578.15

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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.