Home / 1,030.08-1,545.40-299.67

Finding the Fourth Proportional to 1,030.08, 1,545.40 and 299.67

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Solution

The fourth proportional to 1,030.08, 1,545.40 and 299.67 is: 449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.08 : 1,545.40 = 299.67 : x
  2. Step 2: Convert to fraction form
    1,030.08/1,545.40 = 299.67/x
  3. Step 3: Cross multiply
    1,030.08x = 1,545.40 × 299.67
  4. Step 4: Simplify right side
    1,030.08x = 463,102.91
  5. Step 5: Solve for x
    x = 463,102.91/1,030.08
  6. Step 6: Final answer
    x = 449.58

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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.