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Finding the Fourth Proportional to 646.99, 971.10 and 339.07

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Solution

The fourth proportional to 646.99, 971.10 and 339.07 is: 508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.99 : 971.10 = 339.07 : x
  2. Step 2: Convert to fraction form
    646.99/971.10 = 339.07/x
  3. Step 3: Cross multiply
    646.99x = 971.10 × 339.07
  4. Step 4: Simplify right side
    646.99x = 329,265.36
  5. Step 5: Solve for x
    x = 329,265.36/646.99
  6. Step 6: Final answer
    x = 508.92

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Double scale
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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.