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Finding the Fourth Proportional to 469.10, 647.52 and 322.22

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Solution

The fourth proportional to 469.10, 647.52 and 322.22 is: 444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.10 : 647.52 = 322.22 : x
  2. Step 2: Convert to fraction form
    469.10/647.52 = 322.22/x
  3. Step 3: Cross multiply
    469.10x = 647.52 × 322.22
  4. Step 4: Simplify right side
    469.10x = 208,643.89
  5. Step 5: Solve for x
    x = 208,643.89/469.10
  6. Step 6: Final answer
    x = 444.77

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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.