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Finding the Fourth Proportional to 1,005.48, 1,499.45 and 950.40

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Solution

The fourth proportional to 1,005.48, 1,499.45 and 950.40 is: 1,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.48 : 1,499.45 = 950.40 : x
  2. Step 2: Convert to fraction form
    1,005.48/1,499.45 = 950.40/x
  3. Step 3: Cross multiply
    1,005.48x = 1,499.45 × 950.40
  4. Step 4: Simplify right side
    1,005.48x = 1,425,072.53
  5. Step 5: Solve for x
    x = 1,425,072.53/1,005.48
  6. Step 6: Final answer
    x = 1,417.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.