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Finding the Fourth Proportional to 469.06, 646.99 and 370.64

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Solution

The fourth proportional to 469.06, 646.99 and 370.64 is: 511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.06 : 646.99 = 370.64 : x
  2. Step 2: Convert to fraction form
    469.06/646.99 = 370.64/x
  3. Step 3: Cross multiply
    469.06x = 646.99 × 370.64
  4. Step 4: Simplify right side
    469.06x = 239,801.06
  5. Step 5: Solve for x
    x = 239,801.06/469.06
  6. Step 6: Final answer
    x = 511.24

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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.