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Finding the Fourth Proportional to 1,347.79, 2,020.39 and 526.65

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Solution

The fourth proportional to 1,347.79, 2,020.39 and 526.65 is: 789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.79 : 2,020.39 = 526.65 : x
  2. Step 2: Convert to fraction form
    1,347.79/2,020.39 = 526.65/x
  3. Step 3: Cross multiply
    1,347.79x = 2,020.39 × 526.65
  4. Step 4: Simplify right side
    1,347.79x = 1,064,043.83
  5. Step 5: Solve for x
    x = 1,064,043.83/1,347.79
  6. Step 6: Final answer
    x = 789.47

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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.