Home / 1,047.25-1,569.86-526.47

Finding the Fourth Proportional to 1,047.25, 1,569.86 and 526.47

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Solution

The fourth proportional to 1,047.25, 1,569.86 and 526.47 is: 789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.25 : 1,569.86 = 526.47 : x
  2. Step 2: Convert to fraction form
    1,047.25/1,569.86 = 526.47/x
  3. Step 3: Cross multiply
    1,047.25x = 1,569.86 × 526.47
  4. Step 4: Simplify right side
    1,047.25x = 826,489.41
  5. Step 5: Solve for x
    x = 826,489.41/1,047.25
  6. Step 6: Final answer
    x = 789.20

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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.