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Finding the Fourth Proportional to 1,136.76, 1,705.08 and 315.07

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Solution

The fourth proportional to 1,136.76, 1,705.08 and 315.07 is: 472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.76 : 1,705.08 = 315.07 : x
  2. Step 2: Convert to fraction form
    1,136.76/1,705.08 = 315.07/x
  3. Step 3: Cross multiply
    1,136.76x = 1,705.08 × 315.07
  4. Step 4: Simplify right side
    1,136.76x = 537,219.56
  5. Step 5: Solve for x
    x = 537,219.56/1,136.76
  6. Step 6: Final answer
    x = 472.59

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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.