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Finding the Fourth Proportional to 810.10, 1,214.70 and 322.60

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Solution

The fourth proportional to 810.10, 1,214.70 and 322.60 is: 483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.10 : 1,214.70 = 322.60 : x
  2. Step 2: Convert to fraction form
    810.10/1,214.70 = 322.60/x
  3. Step 3: Cross multiply
    810.10x = 1,214.70 × 322.60
  4. Step 4: Simplify right side
    810.10x = 391,862.22
  5. Step 5: Solve for x
    x = 391,862.22/810.10
  6. Step 6: Final answer
    x = 483.72

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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.