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Finding the Fourth Proportional to 815.23, 1,124.08 and 594.28

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Solution

The fourth proportional to 815.23, 1,124.08 and 594.28 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.23 : 1,124.08 = 594.28 : x
  2. Step 2: Convert to fraction form
    815.23/1,124.08 = 594.28/x
  3. Step 3: Cross multiply
    815.23x = 1,124.08 × 594.28
  4. Step 4: Simplify right side
    815.23x = 668,018.26
  5. Step 5: Solve for x
    x = 668,018.26/815.23
  6. Step 6: Final answer
    x = 819.42

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Double scale
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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.