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Finding the Fourth Proportional to 808.05, 1,210.05 and 532.65

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Solution

The fourth proportional to 808.05, 1,210.05 and 532.65 is: 797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.05 : 1,210.05 = 532.65 : x
  2. Step 2: Convert to fraction form
    808.05/1,210.05 = 532.65/x
  3. Step 3: Cross multiply
    808.05x = 1,210.05 × 532.65
  4. Step 4: Simplify right side
    808.05x = 644,533.13
  5. Step 5: Solve for x
    x = 644,533.13/808.05
  6. Step 6: Final answer
    x = 797.64

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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.