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Finding the Fourth Proportional to 656.59, 976.61 and 598.15

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Solution

The fourth proportional to 656.59, 976.61 and 598.15 is: 889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.59 : 976.61 = 598.15 : x
  2. Step 2: Convert to fraction form
    656.59/976.61 = 598.15/x
  3. Step 3: Cross multiply
    656.59x = 976.61 × 598.15
  4. Step 4: Simplify right side
    656.59x = 584,159.27
  5. Step 5: Solve for x
    x = 584,159.27/656.59
  6. Step 6: Final answer
    x = 889.69

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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.