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Finding the Fourth Proportional to 1,148.01, 1,582.74 and 935.61

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Solution

The fourth proportional to 1,148.01, 1,582.74 and 935.61 is: 1,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.01 : 1,582.74 = 935.61 : x
  2. Step 2: Convert to fraction form
    1,148.01/1,582.74 = 935.61/x
  3. Step 3: Cross multiply
    1,148.01x = 1,582.74 × 935.61
  4. Step 4: Simplify right side
    1,148.01x = 1,480,827.37
  5. Step 5: Solve for x
    x = 1,480,827.37/1,148.01
  6. Step 6: Final answer
    x = 1,289.91

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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.