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Finding the Fourth Proportional to 904.96, 1,358.05 and 442.35

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Solution

The fourth proportional to 904.96, 1,358.05 and 442.35 is: 663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.96 : 1,358.05 = 442.35 : x
  2. Step 2: Convert to fraction form
    904.96/1,358.05 = 442.35/x
  3. Step 3: Cross multiply
    904.96x = 1,358.05 × 442.35
  4. Step 4: Simplify right side
    904.96x = 600,733.42
  5. Step 5: Solve for x
    x = 600,733.42/904.96
  6. Step 6: Final answer
    x = 663.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.