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Finding the Fourth Proportional to 1,384.22, 2,075.66 and 506.10

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Solution

The fourth proportional to 1,384.22, 2,075.66 and 506.10 is: 758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.22 : 2,075.66 = 506.10 : x
  2. Step 2: Convert to fraction form
    1,384.22/2,075.66 = 506.10/x
  3. Step 3: Cross multiply
    1,384.22x = 2,075.66 × 506.10
  4. Step 4: Simplify right side
    1,384.22x = 1,050,491.53
  5. Step 5: Solve for x
    x = 1,050,491.53/1,384.22
  6. Step 6: Final answer
    x = 758.91

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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.