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Finding the Fourth Proportional to 810.17, 1,215.05 and 348.07

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Solution

The fourth proportional to 810.17, 1,215.05 and 348.07 is: 522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.17 : 1,215.05 = 348.07 : x
  2. Step 2: Convert to fraction form
    810.17/1,215.05 = 348.07/x
  3. Step 3: Cross multiply
    810.17x = 1,215.05 × 348.07
  4. Step 4: Simplify right side
    810.17x = 422,916.38
  5. Step 5: Solve for x
    x = 422,916.38/810.17
  6. Step 6: Final answer
    x = 522.01

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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.