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Finding the Fourth Proportional to 554.16, 764.40 and 341.40

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Solution

The fourth proportional to 554.16, 764.40 and 341.40 is: 470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.16 : 764.40 = 341.40 : x
  2. Step 2: Convert to fraction form
    554.16/764.40 = 341.40/x
  3. Step 3: Cross multiply
    554.16x = 764.40 × 341.40
  4. Step 4: Simplify right side
    554.16x = 260,966.16
  5. Step 5: Solve for x
    x = 260,966.16/554.16
  6. Step 6: Final answer
    x = 470.92

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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.