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Finding the Fourth Proportional to 657.79, 981.94 and 559.63

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Solution

The fourth proportional to 657.79, 981.94 and 559.63 is: 835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.79 : 981.94 = 559.63 : x
  2. Step 2: Convert to fraction form
    657.79/981.94 = 559.63/x
  3. Step 3: Cross multiply
    657.79x = 981.94 × 559.63
  4. Step 4: Simplify right side
    657.79x = 549,519.23
  5. Step 5: Solve for x
    x = 549,519.23/657.79
  6. Step 6: Final answer
    x = 835.41

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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.