Home / 1,220.30-1,830.45-977.30

Finding the Fourth Proportional to 1,220.30, 1,830.45 and 977.30

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Solution

The fourth proportional to 1,220.30, 1,830.45 and 977.30 is: 1,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.30 : 1,830.45 = 977.30 : x
  2. Step 2: Convert to fraction form
    1,220.30/1,830.45 = 977.30/x
  3. Step 3: Cross multiply
    1,220.30x = 1,830.45 × 977.30
  4. Step 4: Simplify right side
    1,220.30x = 1,788,898.79
  5. Step 5: Solve for x
    x = 1,788,898.79/1,220.30
  6. Step 6: Final answer
    x = 1,465.95

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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.