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Finding the Fourth Proportional to 918.12, 1,265.86 and 785.10

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Solution

The fourth proportional to 918.12, 1,265.86 and 785.10 is: 1,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.12 : 1,265.86 = 785.10 : x
  2. Step 2: Convert to fraction form
    918.12/1,265.86 = 785.10/x
  3. Step 3: Cross multiply
    918.12x = 1,265.86 × 785.10
  4. Step 4: Simplify right side
    918.12x = 993,826.69
  5. Step 5: Solve for x
    x = 993,826.69/918.12
  6. Step 6: Final answer
    x = 1,082.46

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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.