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Finding the Fourth Proportional to 646.62, 968.10 and 581.01

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Solution

The fourth proportional to 646.62, 968.10 and 581.01 is: 869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.62 : 968.10 = 581.01 : x
  2. Step 2: Convert to fraction form
    646.62/968.10 = 581.01/x
  3. Step 3: Cross multiply
    646.62x = 968.10 × 581.01
  4. Step 4: Simplify right side
    646.62x = 562,475.78
  5. Step 5: Solve for x
    x = 562,475.78/646.62
  6. Step 6: Final answer
    x = 869.87

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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.