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Finding the Fourth Proportional to 560.46, 841.19 and 286.71

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Solution

The fourth proportional to 560.46, 841.19 and 286.71 is: 430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.46 : 841.19 = 286.71 : x
  2. Step 2: Convert to fraction form
    560.46/841.19 = 286.71/x
  3. Step 3: Cross multiply
    560.46x = 841.19 × 286.71
  4. Step 4: Simplify right side
    560.46x = 241,173.00
  5. Step 5: Solve for x
    x = 241,173.00/560.46
  6. Step 6: Final answer
    x = 430.31

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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.