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Finding the Fourth Proportional to 690.93, 953.64 and 469.97

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Solution

The fourth proportional to 690.93, 953.64 and 469.97 is: 648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 953.64 = 469.97 : x
  2. Step 2: Convert to fraction form
    690.93/953.64 = 469.97/x
  3. Step 3: Cross multiply
    690.93x = 953.64 × 469.97
  4. Step 4: Simplify right side
    690.93x = 448,181.00
  5. Step 5: Solve for x
    x = 448,181.00/690.93
  6. Step 6: Final answer
    x = 648.66

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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.