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Finding the Fourth Proportional to 674.50, 1,009.64 and 520.02

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Solution

The fourth proportional to 674.50, 1,009.64 and 520.02 is: 778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.50 : 1,009.64 = 520.02 : x
  2. Step 2: Convert to fraction form
    674.50/1,009.64 = 520.02/x
  3. Step 3: Cross multiply
    674.50x = 1,009.64 × 520.02
  4. Step 4: Simplify right side
    674.50x = 525,032.99
  5. Step 5: Solve for x
    x = 525,032.99/674.50
  6. Step 6: Final answer
    x = 778.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.