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Finding the Fourth Proportional to 653.76, 985.46 and 586.80

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Solution

The fourth proportional to 653.76, 985.46 and 586.80 is: 884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 985.46 = 586.80 : x
  2. Step 2: Convert to fraction form
    653.76/985.46 = 586.80/x
  3. Step 3: Cross multiply
    653.76x = 985.46 × 586.80
  4. Step 4: Simplify right side
    653.76x = 578,264.99
  5. Step 5: Solve for x
    x = 578,264.99/653.76
  6. Step 6: Final answer
    x = 884.52

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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.