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Finding the Fourth Proportional to 661.82, 914.08 and 440.38

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Solution

The fourth proportional to 661.82, 914.08 and 440.38 is: 608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.82 : 914.08 = 440.38 : x
  2. Step 2: Convert to fraction form
    661.82/914.08 = 440.38/x
  3. Step 3: Cross multiply
    661.82x = 914.08 × 440.38
  4. Step 4: Simplify right side
    661.82x = 402,542.55
  5. Step 5: Solve for x
    x = 402,542.55/661.82
  6. Step 6: Final answer
    x = 608.24

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Half scale
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Double scale
Find fourth proportional to 662.82, 915.46 and 441.38
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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.