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Finding the Fourth Proportional to 783.04, 1,175.28 and 490.72

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Solution

The fourth proportional to 783.04, 1,175.28 and 490.72 is: 736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.04 : 1,175.28 = 490.72 : x
  2. Step 2: Convert to fraction form
    783.04/1,175.28 = 490.72/x
  3. Step 3: Cross multiply
    783.04x = 1,175.28 × 490.72
  4. Step 4: Simplify right side
    783.04x = 576,733.40
  5. Step 5: Solve for x
    x = 576,733.40/783.04
  6. Step 6: Final answer
    x = 736.53

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Double scale
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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.