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Finding the Fourth Proportional to 504.66, 752.42 and 491.82

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Solution

The fourth proportional to 504.66, 752.42 and 491.82 is: 733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.66 : 752.42 = 491.82 : x
  2. Step 2: Convert to fraction form
    504.66/752.42 = 491.82/x
  3. Step 3: Cross multiply
    504.66x = 752.42 × 491.82
  4. Step 4: Simplify right side
    504.66x = 370,055.20
  5. Step 5: Solve for x
    x = 370,055.20/504.66
  6. Step 6: Final answer
    x = 733.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.