Home / 1,030.21-1,423.49-810.90

Finding the Fourth Proportional to 1,030.21, 1,423.49 and 810.90

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Solution

The fourth proportional to 1,030.21, 1,423.49 and 810.90 is: 1,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.21 : 1,423.49 = 810.90 : x
  2. Step 2: Convert to fraction form
    1,030.21/1,423.49 = 810.90/x
  3. Step 3: Cross multiply
    1,030.21x = 1,423.49 × 810.90
  4. Step 4: Simplify right side
    1,030.21x = 1,154,303.99
  5. Step 5: Solve for x
    x = 1,154,303.99/1,030.21
  6. Step 6: Final answer
    x = 1,120.46

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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.