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Finding the Fourth Proportional to 913.95, 1,259.82 and 692.01

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Solution

The fourth proportional to 913.95, 1,259.82 and 692.01 is: 953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.95 : 1,259.82 = 692.01 : x
  2. Step 2: Convert to fraction form
    913.95/1,259.82 = 692.01/x
  3. Step 3: Cross multiply
    913.95x = 1,259.82 × 692.01
  4. Step 4: Simplify right side
    913.95x = 871,808.04
  5. Step 5: Solve for x
    x = 871,808.04/913.95
  6. Step 6: Final answer
    x = 953.89

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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.