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Finding the Fourth Proportional to 920.85, 1,382.30 and 510.39

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Solution

The fourth proportional to 920.85, 1,382.30 and 510.39 is: 766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.85 : 1,382.30 = 510.39 : x
  2. Step 2: Convert to fraction form
    920.85/1,382.30 = 510.39/x
  3. Step 3: Cross multiply
    920.85x = 1,382.30 × 510.39
  4. Step 4: Simplify right side
    920.85x = 705,509.55
  5. Step 5: Solve for x
    x = 705,509.55/920.85
  6. Step 6: Final answer
    x = 766.15

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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.