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Finding the Fourth Proportional to 469.10, 646.82 and 384.80

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Solution

The fourth proportional to 469.10, 646.82 and 384.80 is: 530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.10 : 646.82 = 384.80 : x
  2. Step 2: Convert to fraction form
    469.10/646.82 = 384.80/x
  3. Step 3: Cross multiply
    469.10x = 646.82 × 384.80
  4. Step 4: Simplify right side
    469.10x = 248,896.34
  5. Step 5: Solve for x
    x = 248,896.34/469.10
  6. Step 6: Final answer
    x = 530.58

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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.