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Finding the Fourth Proportional to 607.14, 909.59 and 510.27

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Solution

The fourth proportional to 607.14, 909.59 and 510.27 is: 764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.14 : 909.59 = 510.27 : x
  2. Step 2: Convert to fraction form
    607.14/909.59 = 510.27/x
  3. Step 3: Cross multiply
    607.14x = 909.59 × 510.27
  4. Step 4: Simplify right side
    607.14x = 464,133.94
  5. Step 5: Solve for x
    x = 464,133.94/607.14
  6. Step 6: Final answer
    x = 764.46

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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.