Home / 1,030.34-1,545.60-414.02

Finding the Fourth Proportional to 1,030.34, 1,545.60 and 414.02

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Solution

The fourth proportional to 1,030.34, 1,545.60 and 414.02 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.34 : 1,545.60 = 414.02 : x
  2. Step 2: Convert to fraction form
    1,030.34/1,545.60 = 414.02/x
  3. Step 3: Cross multiply
    1,030.34x = 1,545.60 × 414.02
  4. Step 4: Simplify right side
    1,030.34x = 639,909.31
  5. Step 5: Solve for x
    x = 639,909.31/1,030.34
  6. Step 6: Final answer
    x = 621.07

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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.