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Finding the Fourth Proportional to 1,358.79, 2,038.29 and 434.31

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Solution

The fourth proportional to 1,358.79, 2,038.29 and 434.31 is: 651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.79 : 2,038.29 = 434.31 : x
  2. Step 2: Convert to fraction form
    1,358.79/2,038.29 = 434.31/x
  3. Step 3: Cross multiply
    1,358.79x = 2,038.29 × 434.31
  4. Step 4: Simplify right side
    1,358.79x = 885,249.73
  5. Step 5: Solve for x
    x = 885,249.73/1,358.79
  6. Step 6: Final answer
    x = 651.50

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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.