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Finding the Fourth Proportional to 1,358.75, 2,038.12 and 434.32

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Solution

The fourth proportional to 1,358.75, 2,038.12 and 434.32 is: 651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.75 : 2,038.12 = 434.32 : x
  2. Step 2: Convert to fraction form
    1,358.75/2,038.12 = 434.32/x
  3. Step 3: Cross multiply
    1,358.75x = 2,038.12 × 434.32
  4. Step 4: Simplify right side
    1,358.75x = 885,190.10
  5. Step 5: Solve for x
    x = 885,190.10/1,358.75
  6. Step 6: Final answer
    x = 651.47

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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.