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Finding the Fourth Proportional to 1,166.61, 1,610.16 and 669.59

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Solution

The fourth proportional to 1,166.61, 1,610.16 and 669.59 is: 924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.61 : 1,610.16 = 669.59 : x
  2. Step 2: Convert to fraction form
    1,166.61/1,610.16 = 669.59/x
  3. Step 3: Cross multiply
    1,166.61x = 1,610.16 × 669.59
  4. Step 4: Simplify right side
    1,166.61x = 1,078,138.98
  5. Step 5: Solve for x
    x = 1,078,138.98/1,166.61
  6. Step 6: Final answer
    x = 924.16

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1.5x scale

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.