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Finding the Fourth Proportional to 1,164.04, 1,605.84 and 691.66

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Solution

The fourth proportional to 1,164.04, 1,605.84 and 691.66 is: 954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.04 : 1,605.84 = 691.66 : x
  2. Step 2: Convert to fraction form
    1,164.04/1,605.84 = 691.66/x
  3. Step 3: Cross multiply
    1,164.04x = 1,605.84 × 691.66
  4. Step 4: Simplify right side
    1,164.04x = 1,110,695.29
  5. Step 5: Solve for x
    x = 1,110,695.29/1,164.04
  6. Step 6: Final answer
    x = 954.17

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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.