Home / 1,430.04-2,144.94-970.77

Finding the Fourth Proportional to 1,430.04, 2,144.94 and 970.77

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Solution

The fourth proportional to 1,430.04, 2,144.94 and 970.77 is: 1,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.04 : 2,144.94 = 970.77 : x
  2. Step 2: Convert to fraction form
    1,430.04/2,144.94 = 970.77/x
  3. Step 3: Cross multiply
    1,430.04x = 2,144.94 × 970.77
  4. Step 4: Simplify right side
    1,430.04x = 2,082,243.40
  5. Step 5: Solve for x
    x = 2,082,243.40/1,430.04
  6. Step 6: Final answer
    x = 1,456.07

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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.