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Finding the Fourth Proportional to 1,303.19, 1,954.42 and 572.58

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Solution

The fourth proportional to 1,303.19, 1,954.42 and 572.58 is: 858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.19 : 1,954.42 = 572.58 : x
  2. Step 2: Convert to fraction form
    1,303.19/1,954.42 = 572.58/x
  3. Step 3: Cross multiply
    1,303.19x = 1,954.42 × 572.58
  4. Step 4: Simplify right side
    1,303.19x = 1,119,058.94
  5. Step 5: Solve for x
    x = 1,119,058.94/1,303.19
  6. Step 6: Final answer
    x = 858.71

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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.