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Finding the Fourth Proportional to 705, 972 and 578.50

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Solution

The fourth proportional to 705, 972 and 578.50 is: 797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 972 = 578.50 : x
  2. Step 2: Convert to fraction form
    705/972 = 578.50/x
  3. Step 3: Cross multiply
    705x = 972 × 578.50
  4. Step 4: Simplify right side
    705x = 562,299.57
  5. Step 5: Solve for x
    x = 562,299.57/705
  6. Step 6: Final answer
    x = 797.59

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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.