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Finding the Fourth Proportional to 806.07, 1,210.13 and 670.77

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Solution

The fourth proportional to 806.07, 1,210.13 and 670.77 is: 1,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.07 : 1,210.13 = 670.77 : x
  2. Step 2: Convert to fraction form
    806.07/1,210.13 = 670.77/x
  3. Step 3: Cross multiply
    806.07x = 1,210.13 × 670.77
  4. Step 4: Simplify right side
    806.07x = 811,715.55
  5. Step 5: Solve for x
    x = 811,715.55/806.07
  6. Step 6: Final answer
    x = 1,007.00

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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.