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Finding the Fourth Proportional to 1,358.40, 2,038.46 and 434.65

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Solution

The fourth proportional to 1,358.40, 2,038.46 and 434.65 is: 652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.40 : 2,038.46 = 434.65 : x
  2. Step 2: Convert to fraction form
    1,358.40/2,038.46 = 434.65/x
  3. Step 3: Cross multiply
    1,358.40x = 2,038.46 × 434.65
  4. Step 4: Simplify right side
    1,358.40x = 886,009.37
  5. Step 5: Solve for x
    x = 886,009.37/1,358.40
  6. Step 6: Final answer
    x = 652.24

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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.