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Finding the Fourth Proportional to 657.66, 981.49 and 584.76

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Solution

The fourth proportional to 657.66, 981.49 and 584.76 is: 872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.66 : 981.49 = 584.76 : x
  2. Step 2: Convert to fraction form
    657.66/981.49 = 584.76/x
  3. Step 3: Cross multiply
    657.66x = 981.49 × 584.76
  4. Step 4: Simplify right side
    657.66x = 573,934.63
  5. Step 5: Solve for x
    x = 573,934.63/657.66
  6. Step 6: Final answer
    x = 872.69

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.