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Finding the Fourth Proportional to 554.65, 763.63 and 429.71

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Solution

The fourth proportional to 554.65, 763.63 and 429.71 is: 591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.65 : 763.63 = 429.71 : x
  2. Step 2: Convert to fraction form
    554.65/763.63 = 429.71/x
  3. Step 3: Cross multiply
    554.65x = 763.63 × 429.71
  4. Step 4: Simplify right side
    554.65x = 328,134.55
  5. Step 5: Solve for x
    x = 328,134.55/554.65
  6. Step 6: Final answer
    x = 591.61

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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.