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Finding the Fourth Proportional to 942.30, 1,299.24 and 785.16

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Solution

The fourth proportional to 942.30, 1,299.24 and 785.16 is: 1,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.30 : 1,299.24 = 785.16 : x
  2. Step 2: Convert to fraction form
    942.30/1,299.24 = 785.16/x
  3. Step 3: Cross multiply
    942.30x = 1,299.24 × 785.16
  4. Step 4: Simplify right side
    942.30x = 1,020,111.28
  5. Step 5: Solve for x
    x = 1,020,111.28/942.30
  6. Step 6: Final answer
    x = 1,082.58

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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.