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Finding the Fourth Proportional to 664.10, 916.28 and 384.36

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Solution

The fourth proportional to 664.10, 916.28 and 384.36 is: 530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.10 : 916.28 = 384.36 : x
  2. Step 2: Convert to fraction form
    664.10/916.28 = 384.36/x
  3. Step 3: Cross multiply
    664.10x = 916.28 × 384.36
  4. Step 4: Simplify right side
    664.10x = 352,181.38
  5. Step 5: Solve for x
    x = 352,181.38/664.10
  6. Step 6: Final answer
    x = 530.31

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1.5x scale

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.