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Finding the Fourth Proportional to 983.99, 1,357.88 and 564.59

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Solution

The fourth proportional to 983.99, 1,357.88 and 564.59 is: 779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.99 : 1,357.88 = 564.59 : x
  2. Step 2: Convert to fraction form
    983.99/1,357.88 = 564.59/x
  3. Step 3: Cross multiply
    983.99x = 1,357.88 × 564.59
  4. Step 4: Simplify right side
    983.99x = 766,643.07
  5. Step 5: Solve for x
    x = 766,643.07/983.99
  6. Step 6: Final answer
    x = 779.12

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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.