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Finding the Fourth Proportional to 604.20, 902.85 and 507

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Solution

The fourth proportional to 604.20, 902.85 and 507 is: 757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.20 : 902.85 = 507 : x
  2. Step 2: Convert to fraction form
    604.20/902.85 = 507/x
  3. Step 3: Cross multiply
    604.20x = 902.85 × 507
  4. Step 4: Simplify right side
    604.20x = 457,746.22
  5. Step 5: Solve for x
    x = 457,746.22/604.20
  6. Step 6: Final answer
    x = 757.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.