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Finding the Fourth Proportional to 935.07, 1,289.98 and 580.89

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Solution

The fourth proportional to 935.07, 1,289.98 and 580.89 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.07 : 1,289.98 = 580.89 : x
  2. Step 2: Convert to fraction form
    935.07/1,289.98 = 580.89/x
  3. Step 3: Cross multiply
    935.07x = 1,289.98 × 580.89
  4. Step 4: Simplify right side
    935.07x = 749,336.48
  5. Step 5: Solve for x
    x = 749,336.48/935.07
  6. Step 6: Final answer
    x = 801.37

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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.