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Finding the Fourth Proportional to 807.02, 1,210.95 and 422.30

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Solution

The fourth proportional to 807.02, 1,210.95 and 422.30 is: 633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.02 : 1,210.95 = 422.30 : x
  2. Step 2: Convert to fraction form
    807.02/1,210.95 = 422.30/x
  3. Step 3: Cross multiply
    807.02x = 1,210.95 × 422.30
  4. Step 4: Simplify right side
    807.02x = 511,384.19
  5. Step 5: Solve for x
    x = 511,384.19/807.02
  6. Step 6: Final answer
    x = 633.67

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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.