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Finding the Fourth Proportional to 935.58, 1,403.78 and 358.86

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Solution

The fourth proportional to 935.58, 1,403.78 and 358.86 is: 538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.58 : 1,403.78 = 358.86 : x
  2. Step 2: Convert to fraction form
    935.58/1,403.78 = 358.86/x
  3. Step 3: Cross multiply
    935.58x = 1,403.78 × 358.86
  4. Step 4: Simplify right side
    935.58x = 503,764.00
  5. Step 5: Solve for x
    x = 503,764.00/935.58
  6. Step 6: Final answer
    x = 538.45

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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.