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Finding the Fourth Proportional to 867.53, 1,295.76 and 785.14

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Solution

The fourth proportional to 867.53, 1,295.76 and 785.14 is: 1,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.53 : 1,295.76 = 785.14 : x
  2. Step 2: Convert to fraction form
    867.53/1,295.76 = 785.14/x
  3. Step 3: Cross multiply
    867.53x = 1,295.76 × 785.14
  4. Step 4: Simplify right side
    867.53x = 1,017,353.01
  5. Step 5: Solve for x
    x = 1,017,353.01/867.53
  6. Step 6: Final answer
    x = 1,172.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.