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Finding the Fourth Proportional to 646.19, 973.07 and 464.85

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Solution

The fourth proportional to 646.19, 973.07 and 464.85 is: 700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.19 : 973.07 = 464.85 : x
  2. Step 2: Convert to fraction form
    646.19/973.07 = 464.85/x
  3. Step 3: Cross multiply
    646.19x = 973.07 × 464.85
  4. Step 4: Simplify right side
    646.19x = 452,329.27
  5. Step 5: Solve for x
    x = 452,329.27/646.19
  6. Step 6: Final answer
    x = 700.00

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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.