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Finding the Fourth Proportional to 646.65, 973.46 and 589.24

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Solution

The fourth proportional to 646.65, 973.46 and 589.24 is: 887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.65 : 973.46 = 589.24 : x
  2. Step 2: Convert to fraction form
    646.65/973.46 = 589.24/x
  3. Step 3: Cross multiply
    646.65x = 973.46 × 589.24
  4. Step 4: Simplify right side
    646.65x = 573,604.26
  5. Step 5: Solve for x
    x = 573,604.26/646.65
  6. Step 6: Final answer
    x = 887.04

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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.