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Finding the Fourth Proportional to 746.49, 1,115.45 and 569.82

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Solution

The fourth proportional to 746.49, 1,115.45 and 569.82 is: 851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.49 : 1,115.45 = 569.82 : x
  2. Step 2: Convert to fraction form
    746.49/1,115.45 = 569.82/x
  3. Step 3: Cross multiply
    746.49x = 1,115.45 × 569.82
  4. Step 4: Simplify right side
    746.49x = 635,602.87
  5. Step 5: Solve for x
    x = 635,602.87/746.49
  6. Step 6: Final answer
    x = 851.46

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.