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Finding the Fourth Proportional to 913.64, 1,259.46 and 692.19

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Solution

The fourth proportional to 913.64, 1,259.46 and 692.19 is: 954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.64 : 1,259.46 = 692.19 : x
  2. Step 2: Convert to fraction form
    913.64/1,259.46 = 692.19/x
  3. Step 3: Cross multiply
    913.64x = 1,259.46 × 692.19
  4. Step 4: Simplify right side
    913.64x = 871,785.62
  5. Step 5: Solve for x
    x = 871,785.62/913.64
  6. Step 6: Final answer
    x = 954.19

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Half scale
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Double scale
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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.