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Finding the Fourth Proportional to 839.77, 1,258.87 and 530.73

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Solution

The fourth proportional to 839.77, 1,258.87 and 530.73 is: 795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.77 : 1,258.87 = 530.73 : x
  2. Step 2: Convert to fraction form
    839.77/1,258.87 = 530.73/x
  3. Step 3: Cross multiply
    839.77x = 1,258.87 × 530.73
  4. Step 4: Simplify right side
    839.77x = 668,120.08
  5. Step 5: Solve for x
    x = 668,120.08/839.77
  6. Step 6: Final answer
    x = 795.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.