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Finding the Fourth Proportional to 1,175.16, 1,762.71 and 309.47

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Solution

The fourth proportional to 1,175.16, 1,762.71 and 309.47 is: 464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.16 : 1,762.71 = 309.47 : x
  2. Step 2: Convert to fraction form
    1,175.16/1,762.71 = 309.47/x
  3. Step 3: Cross multiply
    1,175.16x = 1,762.71 × 309.47
  4. Step 4: Simplify right side
    1,175.16x = 545,507.55
  5. Step 5: Solve for x
    x = 545,507.55/1,175.16
  6. Step 6: Final answer
    x = 464.20

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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.