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Finding the Fourth Proportional to 469.08, 646.02 and 370.71

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Solution

The fourth proportional to 469.08, 646.02 and 370.71 is: 510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.08 : 646.02 = 370.71 : x
  2. Step 2: Convert to fraction form
    469.08/646.02 = 370.71/x
  3. Step 3: Cross multiply
    469.08x = 646.02 × 370.71
  4. Step 4: Simplify right side
    469.08x = 239,486.07
  5. Step 5: Solve for x
    x = 239,486.07/469.08
  6. Step 6: Final answer
    x = 510.54

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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.