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Finding the Fourth Proportional to 601.55, 900.56 and 543.90

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Solution

The fourth proportional to 601.55, 900.56 and 543.90 is: 814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.55 : 900.56 = 543.90 : x
  2. Step 2: Convert to fraction form
    601.55/900.56 = 543.90/x
  3. Step 3: Cross multiply
    601.55x = 900.56 × 543.90
  4. Step 4: Simplify right side
    601.55x = 489,814.58
  5. Step 5: Solve for x
    x = 489,814.58/601.55
  6. Step 6: Final answer
    x = 814.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.