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Finding the Fourth Proportional to 858.57, 1,184.85 and 509.25

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Solution

The fourth proportional to 858.57, 1,184.85 and 509.25 is: 702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.57 : 1,184.85 = 509.25 : x
  2. Step 2: Convert to fraction form
    858.57/1,184.85 = 509.25/x
  3. Step 3: Cross multiply
    858.57x = 1,184.85 × 509.25
  4. Step 4: Simplify right side
    858.57x = 603,384.86
  5. Step 5: Solve for x
    x = 603,384.86/858.57
  6. Step 6: Final answer
    x = 702.78

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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.