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Finding the Fourth Proportional to 1,012.92, 1,398.21 and 663.63

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Solution

The fourth proportional to 1,012.92, 1,398.21 and 663.63 is: 916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.92 : 1,398.21 = 663.63 : x
  2. Step 2: Convert to fraction form
    1,012.92/1,398.21 = 663.63/x
  3. Step 3: Cross multiply
    1,012.92x = 1,398.21 × 663.63
  4. Step 4: Simplify right side
    1,012.92x = 927,894.10
  5. Step 5: Solve for x
    x = 927,894.10/1,012.92
  6. Step 6: Final answer
    x = 916.06

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1.5x scale

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.