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Finding the Fourth Proportional to 664.01, 916.08 and 427.93

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Solution

The fourth proportional to 664.01, 916.08 and 427.93 is: 590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.01 : 916.08 = 427.93 : x
  2. Step 2: Convert to fraction form
    664.01/916.08 = 427.93/x
  3. Step 3: Cross multiply
    664.01x = 916.08 × 427.93
  4. Step 4: Simplify right side
    664.01x = 392,018.11
  5. Step 5: Solve for x
    x = 392,018.11/664.01
  6. Step 6: Final answer
    x = 590.38

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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.