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Finding the Fourth Proportional to 1,210.06, 1,669.98 and 816.40

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Solution

The fourth proportional to 1,210.06, 1,669.98 and 816.40 is: 1,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.06 : 1,669.98 = 816.40 : x
  2. Step 2: Convert to fraction form
    1,210.06/1,669.98 = 816.40/x
  3. Step 3: Cross multiply
    1,210.06x = 1,669.98 × 816.40
  4. Step 4: Simplify right side
    1,210.06x = 1,363,371.67
  5. Step 5: Solve for x
    x = 1,363,371.67/1,210.06
  6. Step 6: Final answer
    x = 1,126.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.