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Finding the Fourth Proportional to 909.47, 1,254.50 and 573.39

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Solution

The fourth proportional to 909.47, 1,254.50 and 573.39 is: 790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.47 : 1,254.50 = 573.39 : x
  2. Step 2: Convert to fraction form
    909.47/1,254.50 = 573.39/x
  3. Step 3: Cross multiply
    909.47x = 1,254.50 × 573.39
  4. Step 4: Simplify right side
    909.47x = 719,314.89
  5. Step 5: Solve for x
    x = 719,314.89/909.47
  6. Step 6: Final answer
    x = 790.92

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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.