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Finding the Fourth Proportional to 1,300.59, 1,950.90 and 434.90

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Solution

The fourth proportional to 1,300.59, 1,950.90 and 434.90 is: 652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.59 : 1,950.90 = 434.90 : x
  2. Step 2: Convert to fraction form
    1,300.59/1,950.90 = 434.90/x
  3. Step 3: Cross multiply
    1,300.59x = 1,950.90 × 434.90
  4. Step 4: Simplify right side
    1,300.59x = 848,446.41
  5. Step 5: Solve for x
    x = 848,446.41/1,300.59
  6. Step 6: Final answer
    x = 652.36

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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.