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Finding the Fourth Proportional to 469.07, 647.51 and 420.47

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Solution

The fourth proportional to 469.07, 647.51 and 420.47 is: 580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.07 : 647.51 = 420.47 : x
  2. Step 2: Convert to fraction form
    469.07/647.51 = 420.47/x
  3. Step 3: Cross multiply
    469.07x = 647.51 × 420.47
  4. Step 4: Simplify right side
    469.07x = 272,258.53
  5. Step 5: Solve for x
    x = 272,258.53/469.07
  6. Step 6: Final answer
    x = 580.42

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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.