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Finding the Fourth Proportional to 646.76, 892.68 and 461.27

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Solution

The fourth proportional to 646.76, 892.68 and 461.27 is: 636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.76 : 892.68 = 461.27 : x
  2. Step 2: Convert to fraction form
    646.76/892.68 = 461.27/x
  3. Step 3: Cross multiply
    646.76x = 892.68 × 461.27
  4. Step 4: Simplify right side
    646.76x = 411,766.50
  5. Step 5: Solve for x
    x = 411,766.50/646.76
  6. Step 6: Final answer
    x = 636.66

Related Problems

Find fourth proportional to 323.38, 446.34 and 230.64
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Double scale
Find fourth proportional to 647.76, 894.06 and 462.27
Similar ratio
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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.