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Finding the Fourth Proportional to 1,315.74, 1,816.02 and 756.50

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Solution

The fourth proportional to 1,315.74, 1,816.02 and 756.50 is: 1,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.74 : 1,816.02 = 756.50 : x
  2. Step 2: Convert to fraction form
    1,315.74/1,816.02 = 756.50/x
  3. Step 3: Cross multiply
    1,315.74x = 1,816.02 × 756.50
  4. Step 4: Simplify right side
    1,315.74x = 1,373,810.05
  5. Step 5: Solve for x
    x = 1,373,810.05/1,315.74
  6. Step 6: Final answer
    x = 1,044.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.