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Finding the Fourth Proportional to 806.63, 1,210.54 and 590.76

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Solution

The fourth proportional to 806.63, 1,210.54 and 590.76 is: 886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.63 : 1,210.54 = 590.76 : x
  2. Step 2: Convert to fraction form
    806.63/1,210.54 = 590.76/x
  3. Step 3: Cross multiply
    806.63x = 1,210.54 × 590.76
  4. Step 4: Simplify right side
    806.63x = 715,137.13
  5. Step 5: Solve for x
    x = 715,137.13/806.63
  6. Step 6: Final answer
    x = 886.58

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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.