Home / 1,385.04-2,077.80-460.50

Finding the Fourth Proportional to 1,385.04, 2,077.80 and 460.50

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Solution

The fourth proportional to 1,385.04, 2,077.80 and 460.50 is: 690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.04 : 2,077.80 = 460.50 : x
  2. Step 2: Convert to fraction form
    1,385.04/2,077.80 = 460.50/x
  3. Step 3: Cross multiply
    1,385.04x = 2,077.80 × 460.50
  4. Step 4: Simplify right side
    1,385.04x = 956,826.90
  5. Step 5: Solve for x
    x = 956,826.90/1,385.04
  6. Step 6: Final answer
    x = 690.83

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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.