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Finding the Fourth Proportional to 664.09, 916.07 and 384.18

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Solution

The fourth proportional to 664.09, 916.07 and 384.18 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 916.07 = 384.18 : x
  2. Step 2: Convert to fraction form
    664.09/916.07 = 384.18/x
  3. Step 3: Cross multiply
    664.09x = 916.07 × 384.18
  4. Step 4: Simplify right side
    664.09x = 351,935.77
  5. Step 5: Solve for x
    x = 351,935.77/664.09
  6. Step 6: Final answer
    x = 529.95

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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.