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Finding the Fourth Proportional to 1,177.42, 1,624.74 and 646.28

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Solution

The fourth proportional to 1,177.42, 1,624.74 and 646.28 is: 891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.42 : 1,624.74 = 646.28 : x
  2. Step 2: Convert to fraction form
    1,177.42/1,624.74 = 646.28/x
  3. Step 3: Cross multiply
    1,177.42x = 1,624.74 × 646.28
  4. Step 4: Simplify right side
    1,177.42x = 1,050,036.97
  5. Step 5: Solve for x
    x = 1,050,036.97/1,177.42
  6. Step 6: Final answer
    x = 891.81

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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.