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Finding the Fourth Proportional to 705.07, 1,056.66 and 334.63

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Solution

The fourth proportional to 705.07, 1,056.66 and 334.63 is: 501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.07 : 1,056.66 = 334.63 : x
  2. Step 2: Convert to fraction form
    705.07/1,056.66 = 334.63/x
  3. Step 3: Cross multiply
    705.07x = 1,056.66 × 334.63
  4. Step 4: Simplify right side
    705.07x = 353,590.14
  5. Step 5: Solve for x
    x = 353,590.14/705.07
  6. Step 6: Final answer
    x = 501.50

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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.