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Finding the Fourth Proportional to 656.48, 983.10 and 643.38

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Solution

The fourth proportional to 656.48, 983.10 and 643.38 is: 963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.48 : 983.10 = 643.38 : x
  2. Step 2: Convert to fraction form
    656.48/983.10 = 643.38/x
  3. Step 3: Cross multiply
    656.48x = 983.10 × 643.38
  4. Step 4: Simplify right side
    656.48x = 632,506.88
  5. Step 5: Solve for x
    x = 632,506.88/656.48
  6. Step 6: Final answer
    x = 963.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.