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Finding the Fourth Proportional to 649.80, 897.04 and 509.60

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Solution

The fourth proportional to 649.80, 897.04 and 509.60 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 897.04 = 509.60 : x
  2. Step 2: Convert to fraction form
    649.80/897.04 = 509.60/x
  3. Step 3: Cross multiply
    649.80x = 897.04 × 509.60
  4. Step 4: Simplify right side
    649.80x = 457,131.58
  5. Step 5: Solve for x
    x = 457,131.58/649.80
  6. Step 6: Final answer
    x = 703.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.