Home / 1,280.04-1,919.85-458.16

Finding the Fourth Proportional to 1,280.04, 1,919.85 and 458.16

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Solution

The fourth proportional to 1,280.04, 1,919.85 and 458.16 is: 687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.04 : 1,919.85 = 458.16 : x
  2. Step 2: Convert to fraction form
    1,280.04/1,919.85 = 458.16/x
  3. Step 3: Cross multiply
    1,280.04x = 1,919.85 × 458.16
  4. Step 4: Simplify right side
    1,280.04x = 879,598.48
  5. Step 5: Solve for x
    x = 879,598.48/1,280.04
  6. Step 6: Final answer
    x = 687.16

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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.