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Finding the Fourth Proportional to 653.68, 975.40 and 584.63

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Solution

The fourth proportional to 653.68, 975.40 and 584.63 is: 872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.68 : 975.40 = 584.63 : x
  2. Step 2: Convert to fraction form
    653.68/975.40 = 584.63/x
  3. Step 3: Cross multiply
    653.68x = 975.40 × 584.63
  4. Step 4: Simplify right side
    653.68x = 570,243.23
  5. Step 5: Solve for x
    x = 570,243.23/653.68
  6. Step 6: Final answer
    x = 872.36

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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.