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Finding the Fourth Proportional to 590.64, 815.28 and 380.64

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Solution

The fourth proportional to 590.64, 815.28 and 380.64 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.64 : 815.28 = 380.64 : x
  2. Step 2: Convert to fraction form
    590.64/815.28 = 380.64/x
  3. Step 3: Cross multiply
    590.64x = 815.28 × 380.64
  4. Step 4: Simplify right side
    590.64x = 310,328.18
  5. Step 5: Solve for x
    x = 310,328.18/590.64
  6. Step 6: Final answer
    x = 525.41

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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.