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Finding the Fourth Proportional to 607.07, 909.99 and 534.17

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Solution

The fourth proportional to 607.07, 909.99 and 534.17 is: 800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.07 : 909.99 = 534.17 : x
  2. Step 2: Convert to fraction form
    607.07/909.99 = 534.17/x
  3. Step 3: Cross multiply
    607.07x = 909.99 × 534.17
  4. Step 4: Simplify right side
    607.07x = 486,089.36
  5. Step 5: Solve for x
    x = 486,089.36/607.07
  6. Step 6: Final answer
    x = 800.71

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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.