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Finding the Fourth Proportional to 807.21, 1,210.95 and 259.34

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Solution

The fourth proportional to 807.21, 1,210.95 and 259.34 is: 389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.21 : 1,210.95 = 259.34 : x
  2. Step 2: Convert to fraction form
    807.21/1,210.95 = 259.34/x
  3. Step 3: Cross multiply
    807.21x = 1,210.95 × 259.34
  4. Step 4: Simplify right side
    807.21x = 314,047.77
  5. Step 5: Solve for x
    x = 314,047.77/807.21
  6. Step 6: Final answer
    x = 389.05

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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.