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Finding the Fourth Proportional to 560.40, 839.07 and 469.59

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Solution

The fourth proportional to 560.40, 839.07 and 469.59 is: 703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.40 : 839.07 = 469.59 : x
  2. Step 2: Convert to fraction form
    560.40/839.07 = 469.59/x
  3. Step 3: Cross multiply
    560.40x = 839.07 × 469.59
  4. Step 4: Simplify right side
    560.40x = 394,018.88
  5. Step 5: Solve for x
    x = 394,018.88/560.40
  6. Step 6: Final answer
    x = 703.10

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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.