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Finding the Fourth Proportional to 1,014.05, 1,520.63 and 429.30

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Solution

The fourth proportional to 1,014.05, 1,520.63 and 429.30 is: 643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.05 : 1,520.63 = 429.30 : x
  2. Step 2: Convert to fraction form
    1,014.05/1,520.63 = 429.30/x
  3. Step 3: Cross multiply
    1,014.05x = 1,520.63 × 429.30
  4. Step 4: Simplify right side
    1,014.05x = 652,804.31
  5. Step 5: Solve for x
    x = 652,804.31/1,014.05
  6. Step 6: Final answer
    x = 643.76

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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.