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Finding the Fourth Proportional to 554.65, 763.63 and 456.23

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Solution

The fourth proportional to 554.65, 763.63 and 456.23 is: 628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.65 : 763.63 = 456.23 : x
  2. Step 2: Convert to fraction form
    554.65/763.63 = 456.23/x
  3. Step 3: Cross multiply
    554.65x = 763.63 × 456.23
  4. Step 4: Simplify right side
    554.65x = 348,391.68
  5. Step 5: Solve for x
    x = 348,391.68/554.65
  6. Step 6: Final answer
    x = 628.13

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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.