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Finding the Fourth Proportional to 1,303.88, 1,954.19 and 572.72

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Solution

The fourth proportional to 1,303.88, 1,954.19 and 572.72 is: 858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.88 : 1,954.19 = 572.72 : x
  2. Step 2: Convert to fraction form
    1,303.88/1,954.19 = 572.72/x
  3. Step 3: Cross multiply
    1,303.88x = 1,954.19 × 572.72
  4. Step 4: Simplify right side
    1,303.88x = 1,119,195.36
  5. Step 5: Solve for x
    x = 1,119,195.36/1,303.88
  6. Step 6: Final answer
    x = 858.36

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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.