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Finding the Fourth Proportional to 935.83, 1,291.55 and 562.99

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Solution

The fourth proportional to 935.83, 1,291.55 and 562.99 is: 776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.83 : 1,291.55 = 562.99 : x
  2. Step 2: Convert to fraction form
    935.83/1,291.55 = 562.99/x
  3. Step 3: Cross multiply
    935.83x = 1,291.55 × 562.99
  4. Step 4: Simplify right side
    935.83x = 727,128.33
  5. Step 5: Solve for x
    x = 727,128.33/935.83
  6. Step 6: Final answer
    x = 776.99

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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.