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Finding the Fourth Proportional to 469.16, 647.62 and 419.95

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Solution

The fourth proportional to 469.16, 647.62 and 419.95 is: 579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.16 : 647.62 = 419.95 : x
  2. Step 2: Convert to fraction form
    469.16/647.62 = 419.95/x
  3. Step 3: Cross multiply
    469.16x = 647.62 × 419.95
  4. Step 4: Simplify right side
    469.16x = 271,970.28
  5. Step 5: Solve for x
    x = 271,970.28/469.16
  6. Step 6: Final answer
    x = 579.70

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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.