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Finding the Fourth Proportional to 913.99, 1,362.29 and 862.09

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Solution

The fourth proportional to 913.99, 1,362.29 and 862.09 is: 1,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.99 : 1,362.29 = 862.09 : x
  2. Step 2: Convert to fraction form
    913.99/1,362.29 = 862.09/x
  3. Step 3: Cross multiply
    913.99x = 1,362.29 × 862.09
  4. Step 4: Simplify right side
    913.99x = 1,174,416.59
  5. Step 5: Solve for x
    x = 1,174,416.59/913.99
  6. Step 6: Final answer
    x = 1,284.93

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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.