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Finding the Fourth Proportional to 560.49, 841.16 and 300.70

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Solution

The fourth proportional to 560.49, 841.16 and 300.70 is: 451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.49 : 841.16 = 300.70 : x
  2. Step 2: Convert to fraction form
    560.49/841.16 = 300.70/x
  3. Step 3: Cross multiply
    560.49x = 841.16 × 300.70
  4. Step 4: Simplify right side
    560.49x = 252,936.92
  5. Step 5: Solve for x
    x = 252,936.92/560.49
  6. Step 6: Final answer
    x = 451.28

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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.