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Finding the Fourth Proportional to 1,384.42, 2,075.92 and 459.65

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Solution

The fourth proportional to 1,384.42, 2,075.92 and 459.65 is: 689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.42 : 2,075.92 = 459.65 : x
  2. Step 2: Convert to fraction form
    1,384.42/2,075.92 = 459.65/x
  3. Step 3: Cross multiply
    1,384.42x = 2,075.92 × 459.65
  4. Step 4: Simplify right side
    1,384.42x = 954,196.63
  5. Step 5: Solve for x
    x = 954,196.63/1,384.42
  6. Step 6: Final answer
    x = 689.24

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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.