Home / 1,526.25-2,288.23-977.37

Finding the Fourth Proportional to 1,526.25, 2,288.23 and 977.37

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Solution

The fourth proportional to 1,526.25, 2,288.23 and 977.37 is: 1,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.25 : 2,288.23 = 977.37 : x
  2. Step 2: Convert to fraction form
    1,526.25/2,288.23 = 977.37/x
  3. Step 3: Cross multiply
    1,526.25x = 2,288.23 × 977.37
  4. Step 4: Simplify right side
    1,526.25x = 2,236,447.36
  5. Step 5: Solve for x
    x = 2,236,447.36/1,526.25
  6. Step 6: Final answer
    x = 1,465.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.