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Finding the Fourth Proportional to 659.16, 983.99 and 561.01

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Solution

The fourth proportional to 659.16, 983.99 and 561.01 is: 837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 983.99 = 561.01 : x
  2. Step 2: Convert to fraction form
    659.16/983.99 = 561.01/x
  3. Step 3: Cross multiply
    659.16x = 983.99 × 561.01
  4. Step 4: Simplify right side
    659.16x = 552,028.23
  5. Step 5: Solve for x
    x = 552,028.23/659.16
  6. Step 6: Final answer
    x = 837.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.