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Finding the Fourth Proportional to 1,136.27, 1,701.68 and 647.84

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Solution

The fourth proportional to 1,136.27, 1,701.68 and 647.84 is: 970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.27 : 1,701.68 = 647.84 : x
  2. Step 2: Convert to fraction form
    1,136.27/1,701.68 = 647.84/x
  3. Step 3: Cross multiply
    1,136.27x = 1,701.68 × 647.84
  4. Step 4: Simplify right side
    1,136.27x = 1,102,417.39
  5. Step 5: Solve for x
    x = 1,102,417.39/1,136.27
  6. Step 6: Final answer
    x = 970.21

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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.