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Finding the Fourth Proportional to 1,038.71, 1,433.42 and 572.96

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Solution

The fourth proportional to 1,038.71, 1,433.42 and 572.96 is: 790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.71 : 1,433.42 = 572.96 : x
  2. Step 2: Convert to fraction form
    1,038.71/1,433.42 = 572.96/x
  3. Step 3: Cross multiply
    1,038.71x = 1,433.42 × 572.96
  4. Step 4: Simplify right side
    1,038.71x = 821,289.46
  5. Step 5: Solve for x
    x = 821,289.46/1,038.71
  6. Step 6: Final answer
    x = 790.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.