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Finding the Fourth Proportional to 653.07, 980.63 and 583.01

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Solution

The fourth proportional to 653.07, 980.63 and 583.01 is: 875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.07 : 980.63 = 583.01 : x
  2. Step 2: Convert to fraction form
    653.07/980.63 = 583.01/x
  3. Step 3: Cross multiply
    653.07x = 980.63 × 583.01
  4. Step 4: Simplify right side
    653.07x = 571,715.14
  5. Step 5: Solve for x
    x = 571,715.14/653.07
  6. Step 6: Final answer
    x = 875.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.