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Finding the Fourth Proportional to 669.83, 924.08 and 420.98

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Solution

The fourth proportional to 669.83, 924.08 and 420.98 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.83 : 924.08 = 420.98 : x
  2. Step 2: Convert to fraction form
    669.83/924.08 = 420.98/x
  3. Step 3: Cross multiply
    669.83x = 924.08 × 420.98
  4. Step 4: Simplify right side
    669.83x = 389,012.47
  5. Step 5: Solve for x
    x = 389,012.47/669.83
  6. Step 6: Final answer
    x = 580.77

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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.