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Finding the Fourth Proportional to 661.40, 913.18 and 591.24

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Solution

The fourth proportional to 661.40, 913.18 and 591.24 is: 816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.40 : 913.18 = 591.24 : x
  2. Step 2: Convert to fraction form
    661.40/913.18 = 591.24/x
  3. Step 3: Cross multiply
    661.40x = 913.18 × 591.24
  4. Step 4: Simplify right side
    661.40x = 539,908.54
  5. Step 5: Solve for x
    x = 539,908.54/661.40
  6. Step 6: Final answer
    x = 816.31

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Double scale
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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.