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Finding the Fourth Proportional to 909.15, 1,254.59 and 510.85

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Solution

The fourth proportional to 909.15, 1,254.59 and 510.85 is: 704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.15 : 1,254.59 = 510.85 : x
  2. Step 2: Convert to fraction form
    909.15/1,254.59 = 510.85/x
  3. Step 3: Cross multiply
    909.15x = 1,254.59 × 510.85
  4. Step 4: Simplify right side
    909.15x = 640,908.23
  5. Step 5: Solve for x
    x = 640,908.23/909.15
  6. Step 6: Final answer
    x = 704.96

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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.