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Finding the Fourth Proportional to 689.79, 952.80 and 503.91

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Solution

The fourth proportional to 689.79, 952.80 and 503.91 is: 696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.79 : 952.80 = 503.91 : x
  2. Step 2: Convert to fraction form
    689.79/952.80 = 503.91/x
  3. Step 3: Cross multiply
    689.79x = 952.80 × 503.91
  4. Step 4: Simplify right side
    689.79x = 480,125.45
  5. Step 5: Solve for x
    x = 480,125.45/689.79
  6. Step 6: Final answer
    x = 696.05

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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.