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Finding the Fourth Proportional to 1,075.02, 1,612.68 and 344.67

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Solution

The fourth proportional to 1,075.02, 1,612.68 and 344.67 is: 517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.02 : 1,612.68 = 344.67 : x
  2. Step 2: Convert to fraction form
    1,075.02/1,612.68 = 344.67/x
  3. Step 3: Cross multiply
    1,075.02x = 1,612.68 × 344.67
  4. Step 4: Simplify right side
    1,075.02x = 555,842.42
  5. Step 5: Solve for x
    x = 555,842.42/1,075.02
  6. Step 6: Final answer
    x = 517.05

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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.