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Finding the Fourth Proportional to 1,047.47, 1,568.77 and 526.64

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Solution

The fourth proportional to 1,047.47, 1,568.77 and 526.64 is: 788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.47 : 1,568.77 = 526.64 : x
  2. Step 2: Convert to fraction form
    1,047.47/1,568.77 = 526.64/x
  3. Step 3: Cross multiply
    1,047.47x = 1,568.77 × 526.64
  4. Step 4: Simplify right side
    1,047.47x = 826,167.87
  5. Step 5: Solve for x
    x = 826,167.87/1,047.47
  6. Step 6: Final answer
    x = 788.73

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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.