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Finding the Fourth Proportional to 669.38, 922.80 and 577.10

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Solution

The fourth proportional to 669.38, 922.80 and 577.10 is: 795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.38 : 922.80 = 577.10 : x
  2. Step 2: Convert to fraction form
    669.38/922.80 = 577.10/x
  3. Step 3: Cross multiply
    669.38x = 922.80 × 577.10
  4. Step 4: Simplify right side
    669.38x = 532,547.88
  5. Step 5: Solve for x
    x = 532,547.88/669.38
  6. Step 6: Final answer
    x = 795.58

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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.