Home / 1,002.89-1,384.08-583.22

Finding the Fourth Proportional to 1,002.89, 1,384.08 and 583.22

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Solution

The fourth proportional to 1,002.89, 1,384.08 and 583.22 is: 804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.89 : 1,384.08 = 583.22 : x
  2. Step 2: Convert to fraction form
    1,002.89/1,384.08 = 583.22/x
  3. Step 3: Cross multiply
    1,002.89x = 1,384.08 × 583.22
  4. Step 4: Simplify right side
    1,002.89x = 807,222.16
  5. Step 5: Solve for x
    x = 807,222.16/1,002.89
  6. Step 6: Final answer
    x = 804.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.