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Finding the Fourth Proportional to 909.47, 1,255.02 and 511.10

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Solution

The fourth proportional to 909.47, 1,255.02 and 511.10 is: 705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.47 : 1,255.02 = 511.10 : x
  2. Step 2: Convert to fraction form
    909.47/1,255.02 = 511.10/x
  3. Step 3: Cross multiply
    909.47x = 1,255.02 × 511.10
  4. Step 4: Simplify right side
    909.47x = 641,440.72
  5. Step 5: Solve for x
    x = 641,440.72/909.47
  6. Step 6: Final answer
    x = 705.29

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1.5x scale

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.