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Finding the Fourth Proportional to 647.38, 894 and 589.06

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Solution

The fourth proportional to 647.38, 894 and 589.06 is: 813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.38 : 894 = 589.06 : x
  2. Step 2: Convert to fraction form
    647.38/894 = 589.06/x
  3. Step 3: Cross multiply
    647.38x = 894 × 589.06
  4. Step 4: Simplify right side
    647.38x = 526,619.64
  5. Step 5: Solve for x
    x = 526,619.64/647.38
  6. Step 6: Final answer
    x = 813.46

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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.