Home / 1,430.71-2,146.49-598.17

Finding the Fourth Proportional to 1,430.71, 2,146.49 and 598.17

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Solution

The fourth proportional to 1,430.71, 2,146.49 and 598.17 is: 897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.71 : 2,146.49 = 598.17 : x
  2. Step 2: Convert to fraction form
    1,430.71/2,146.49 = 598.17/x
  3. Step 3: Cross multiply
    1,430.71x = 2,146.49 × 598.17
  4. Step 4: Simplify right side
    1,430.71x = 1,283,972.78
  5. Step 5: Solve for x
    x = 1,283,972.78/1,430.71
  6. Step 6: Final answer
    x = 897.44

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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.