Home / 1,295.04-1,942.56-429.20

Finding the Fourth Proportional to 1,295.04, 1,942.56 and 429.20

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Solution

The fourth proportional to 1,295.04, 1,942.56 and 429.20 is: 643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.04 : 1,942.56 = 429.20 : x
  2. Step 2: Convert to fraction form
    1,295.04/1,942.56 = 429.20/x
  3. Step 3: Cross multiply
    1,295.04x = 1,942.56 × 429.20
  4. Step 4: Simplify right side
    1,295.04x = 833,746.75
  5. Step 5: Solve for x
    x = 833,746.75/1,295.04
  6. Step 6: Final answer
    x = 643.80

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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.