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Finding the Fourth Proportional to 839.82, 1,258.53 and 530.91

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Solution

The fourth proportional to 839.82, 1,258.53 and 530.91 is: 795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.82 : 1,258.53 = 530.91 : x
  2. Step 2: Convert to fraction form
    839.82/1,258.53 = 530.91/x
  3. Step 3: Cross multiply
    839.82x = 1,258.53 × 530.91
  4. Step 4: Simplify right side
    839.82x = 668,166.16
  5. Step 5: Solve for x
    x = 668,166.16/839.82
  6. Step 6: Final answer
    x = 795.61

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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.