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Finding the Fourth Proportional to 669.65, 924.43 and 503.93

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Solution

The fourth proportional to 669.65, 924.43 and 503.93 is: 695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.65 : 924.43 = 503.93 : x
  2. Step 2: Convert to fraction form
    669.65/924.43 = 503.93/x
  3. Step 3: Cross multiply
    669.65x = 924.43 × 503.93
  4. Step 4: Simplify right side
    669.65x = 465,843.39
  5. Step 5: Solve for x
    x = 465,843.39/669.65
  6. Step 6: Final answer
    x = 695.65

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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.