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Finding the Fourth Proportional to 1,006.19, 1,509.50 and 713.79

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Solution

The fourth proportional to 1,006.19, 1,509.50 and 713.79 is: 1,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.19 : 1,509.50 = 713.79 : x
  2. Step 2: Convert to fraction form
    1,006.19/1,509.50 = 713.79/x
  3. Step 3: Cross multiply
    1,006.19x = 1,509.50 × 713.79
  4. Step 4: Simplify right side
    1,006.19x = 1,077,462.44
  5. Step 5: Solve for x
    x = 1,077,462.44/1,006.19
  6. Step 6: Final answer
    x = 1,070.84

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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.