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Finding the Fourth Proportional to 1,117.96, 1,542.88 and 620.76

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Solution

The fourth proportional to 1,117.96, 1,542.88 and 620.76 is: 856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.96 : 1,542.88 = 620.76 : x
  2. Step 2: Convert to fraction form
    1,117.96/1,542.88 = 620.76/x
  3. Step 3: Cross multiply
    1,117.96x = 1,542.88 × 620.76
  4. Step 4: Simplify right side
    1,117.96x = 957,758.19
  5. Step 5: Solve for x
    x = 957,758.19/1,117.96
  6. Step 6: Final answer
    x = 856.70

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1.5x scale

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.