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Finding the Fourth Proportional to 783.47, 1,175.11 and 491.06

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Solution

The fourth proportional to 783.47, 1,175.11 and 491.06 is: 736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.47 : 1,175.11 = 491.06 : x
  2. Step 2: Convert to fraction form
    783.47/1,175.11 = 491.06/x
  3. Step 3: Cross multiply
    783.47x = 1,175.11 × 491.06
  4. Step 4: Simplify right side
    783.47x = 577,051.23
  5. Step 5: Solve for x
    x = 577,051.23/783.47
  6. Step 6: Final answer
    x = 736.53

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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.