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Finding the Fourth Proportional to 468.57, 646.32 and 370.29

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Solution

The fourth proportional to 468.57, 646.32 and 370.29 is: 510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.57 : 646.32 = 370.29 : x
  2. Step 2: Convert to fraction form
    468.57/646.32 = 370.29/x
  3. Step 3: Cross multiply
    468.57x = 646.32 × 370.29
  4. Step 4: Simplify right side
    468.57x = 239,325.83
  5. Step 5: Solve for x
    x = 239,325.83/468.57
  6. Step 6: Final answer
    x = 510.76

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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.