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Finding the Fourth Proportional to 935.50, 1,291.08 and 586.12

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Solution

The fourth proportional to 935.50, 1,291.08 and 586.12 is: 808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.50 : 1,291.08 = 586.12 : x
  2. Step 2: Convert to fraction form
    935.50/1,291.08 = 586.12/x
  3. Step 3: Cross multiply
    935.50x = 1,291.08 × 586.12
  4. Step 4: Simplify right side
    935.50x = 756,727.81
  5. Step 5: Solve for x
    x = 756,727.81/935.50
  6. Step 6: Final answer
    x = 808.90

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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.