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Finding the Fourth Proportional to 807.32, 1,210.26 and 374.12

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Solution

The fourth proportional to 807.32, 1,210.26 and 374.12 is: 560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.32 : 1,210.26 = 374.12 : x
  2. Step 2: Convert to fraction form
    807.32/1,210.26 = 374.12/x
  3. Step 3: Cross multiply
    807.32x = 1,210.26 × 374.12
  4. Step 4: Simplify right side
    807.32x = 452,782.47
  5. Step 5: Solve for x
    x = 452,782.47/807.32
  6. Step 6: Final answer
    x = 560.85

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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.