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Finding the Fourth Proportional to 669.53, 924.26 and 503.80

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Solution

The fourth proportional to 669.53, 924.26 and 503.80 is: 695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.53 : 924.26 = 503.80 : x
  2. Step 2: Convert to fraction form
    669.53/924.26 = 503.80/x
  3. Step 3: Cross multiply
    669.53x = 924.26 × 503.80
  4. Step 4: Simplify right side
    669.53x = 465,637.36
  5. Step 5: Solve for x
    x = 465,637.36/669.53
  6. Step 6: Final answer
    x = 695.47

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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.