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Finding the Fourth Proportional to 909.47, 1,255.16 and 578.00

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Solution

The fourth proportional to 909.47, 1,255.16 and 578.00 is: 797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.47 : 1,255.16 = 578.00 : x
  2. Step 2: Convert to fraction form
    909.47/1,255.16 = 578.00/x
  3. Step 3: Cross multiply
    909.47x = 1,255.16 × 578.00
  4. Step 4: Simplify right side
    909.47x = 725,487.06
  5. Step 5: Solve for x
    x = 725,487.06/909.47
  6. Step 6: Final answer
    x = 797.70

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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.