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Finding the Fourth Proportional to 926.48, 1,276.34 and 646.20

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Solution

The fourth proportional to 926.48, 1,276.34 and 646.20 is: 890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.48 : 1,276.34 = 646.20 : x
  2. Step 2: Convert to fraction form
    926.48/1,276.34 = 646.20/x
  3. Step 3: Cross multiply
    926.48x = 1,276.34 × 646.20
  4. Step 4: Simplify right side
    926.48x = 824,767.68
  5. Step 5: Solve for x
    x = 824,767.68/926.48
  6. Step 6: Final answer
    x = 890.22

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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.