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Finding the Fourth Proportional to 783.05, 1,174.52 and 458.17

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Solution

The fourth proportional to 783.05, 1,174.52 and 458.17 is: 687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.05 : 1,174.52 = 458.17 : x
  2. Step 2: Convert to fraction form
    783.05/1,174.52 = 458.17/x
  3. Step 3: Cross multiply
    783.05x = 1,174.52 × 458.17
  4. Step 4: Simplify right side
    783.05x = 538,128.04
  5. Step 5: Solve for x
    x = 538,128.04/783.05
  6. Step 6: Final answer
    x = 687.22

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1.5x scale

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.