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Finding the Fourth Proportional to 839.68, 1,158.70 and 466.64

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Solution

The fourth proportional to 839.68, 1,158.70 and 466.64 is: 643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.68 : 1,158.70 = 466.64 : x
  2. Step 2: Convert to fraction form
    839.68/1,158.70 = 466.64/x
  3. Step 3: Cross multiply
    839.68x = 1,158.70 × 466.64
  4. Step 4: Simplify right side
    839.68x = 540,695.77
  5. Step 5: Solve for x
    x = 540,695.77/839.68
  6. Step 6: Final answer
    x = 643.93

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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.