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Finding the Fourth Proportional to 1,591.07, 2,385.71 and 653.76

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Solution

The fourth proportional to 1,591.07, 2,385.71 and 653.76 is: 980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.07 : 2,385.71 = 653.76 : x
  2. Step 2: Convert to fraction form
    1,591.07/2,385.71 = 653.76/x
  3. Step 3: Cross multiply
    1,591.07x = 2,385.71 × 653.76
  4. Step 4: Simplify right side
    1,591.07x = 1,559,678.50
  5. Step 5: Solve for x
    x = 1,559,678.50/1,591.07
  6. Step 6: Final answer
    x = 980.27

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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.