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Finding the Fourth Proportional to 554.19, 762.93 and 469.77

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Solution

The fourth proportional to 554.19, 762.93 and 469.77 is: 646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.19 : 762.93 = 469.77 : x
  2. Step 2: Convert to fraction form
    554.19/762.93 = 469.77/x
  3. Step 3: Cross multiply
    554.19x = 762.93 × 469.77
  4. Step 4: Simplify right side
    554.19x = 358,401.63
  5. Step 5: Solve for x
    x = 358,401.63/554.19
  6. Step 6: Final answer
    x = 646.71

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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.