Home / 1,030.21-1,545.33-414.20

Finding the Fourth Proportional to 1,030.21, 1,545.33 and 414.20

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Solution

The fourth proportional to 1,030.21, 1,545.33 and 414.20 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.21 : 1,545.33 = 414.20 : x
  2. Step 2: Convert to fraction form
    1,030.21/1,545.33 = 414.20/x
  3. Step 3: Cross multiply
    1,030.21x = 1,545.33 × 414.20
  4. Step 4: Simplify right side
    1,030.21x = 640,075.69
  5. Step 5: Solve for x
    x = 640,075.69/1,030.21
  6. Step 6: Final answer
    x = 621.31

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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.