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Finding the Fourth Proportional to 503.66, 697.02 and 491.52

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Solution

The fourth proportional to 503.66, 697.02 and 491.52 is: 680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.66 : 697.02 = 491.52 : x
  2. Step 2: Convert to fraction form
    503.66/697.02 = 491.52/x
  3. Step 3: Cross multiply
    503.66x = 697.02 × 491.52
  4. Step 4: Simplify right side
    503.66x = 342,599.27
  5. Step 5: Solve for x
    x = 342,599.27/503.66
  6. Step 6: Final answer
    x = 680.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.