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Finding the Fourth Proportional to 689.51, 951.50 and 374.76

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Solution

The fourth proportional to 689.51, 951.50 and 374.76 is: 517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.51 : 951.50 = 374.76 : x
  2. Step 2: Convert to fraction form
    689.51/951.50 = 374.76/x
  3. Step 3: Cross multiply
    689.51x = 951.50 × 374.76
  4. Step 4: Simplify right side
    689.51x = 356,582.27
  5. Step 5: Solve for x
    x = 356,582.27/689.51
  6. Step 6: Final answer
    x = 517.16

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Half scale
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Double scale
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1.5x scale

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.