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Finding the Fourth Proportional to 646.01, 973.14 and 589.97

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Solution

The fourth proportional to 646.01, 973.14 and 589.97 is: 888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.01 : 973.14 = 589.97 : x
  2. Step 2: Convert to fraction form
    646.01/973.14 = 589.97/x
  3. Step 3: Cross multiply
    646.01x = 973.14 × 589.97
  4. Step 4: Simplify right side
    646.01x = 574,125.84
  5. Step 5: Solve for x
    x = 574,125.84/646.01
  6. Step 6: Final answer
    x = 888.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.