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Finding the Fourth Proportional to 918.13, 1,376.79 and 570.94

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Solution

The fourth proportional to 918.13, 1,376.79 and 570.94 is: 856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.13 : 1,376.79 = 570.94 : x
  2. Step 2: Convert to fraction form
    918.13/1,376.79 = 570.94/x
  3. Step 3: Cross multiply
    918.13x = 1,376.79 × 570.94
  4. Step 4: Simplify right side
    918.13x = 786,057.60
  5. Step 5: Solve for x
    x = 786,057.60/918.13
  6. Step 6: Final answer
    x = 856.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.