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Finding the Fourth Proportional to 1,085.56, 1,497.70 and 692.81

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Solution

The fourth proportional to 1,085.56, 1,497.70 and 692.81 is: 955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.56 : 1,497.70 = 692.81 : x
  2. Step 2: Convert to fraction form
    1,085.56/1,497.70 = 692.81/x
  3. Step 3: Cross multiply
    1,085.56x = 1,497.70 × 692.81
  4. Step 4: Simplify right side
    1,085.56x = 1,037,621.54
  5. Step 5: Solve for x
    x = 1,037,621.54/1,085.56
  6. Step 6: Final answer
    x = 955.84

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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.