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Finding the Fourth Proportional to 984.94, 1,359.14 and 581.30

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Solution

The fourth proportional to 984.94, 1,359.14 and 581.30 is: 802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.94 : 1,359.14 = 581.30 : x
  2. Step 2: Convert to fraction form
    984.94/1,359.14 = 581.30/x
  3. Step 3: Cross multiply
    984.94x = 1,359.14 × 581.30
  4. Step 4: Simplify right side
    984.94x = 790,068.08
  5. Step 5: Solve for x
    x = 790,068.08/984.94
  6. Step 6: Final answer
    x = 802.15

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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.