Home / 1,280.03-1,918.36-509.63

Finding the Fourth Proportional to 1,280.03, 1,918.36 and 509.63

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Solution

The fourth proportional to 1,280.03, 1,918.36 and 509.63 is: 763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.03 : 1,918.36 = 509.63 : x
  2. Step 2: Convert to fraction form
    1,280.03/1,918.36 = 509.63/x
  3. Step 3: Cross multiply
    1,280.03x = 1,918.36 × 509.63
  4. Step 4: Simplify right side
    1,280.03x = 977,653.81
  5. Step 5: Solve for x
    x = 977,653.81/1,280.03
  6. Step 6: Final answer
    x = 763.77

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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.