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Finding the Fourth Proportional to 809.64, 1,215.10 and 604.68

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Solution

The fourth proportional to 809.64, 1,215.10 and 604.68 is: 907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.64 : 1,215.10 = 604.68 : x
  2. Step 2: Convert to fraction form
    809.64/1,215.10 = 604.68/x
  3. Step 3: Cross multiply
    809.64x = 1,215.10 × 604.68
  4. Step 4: Simplify right side
    809.64x = 734,746.67
  5. Step 5: Solve for x
    x = 734,746.67/809.64
  6. Step 6: Final answer
    x = 907.50

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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.