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Finding the Fourth Proportional to 611.70, 848.04 and 578.85

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Solution

The fourth proportional to 611.70, 848.04 and 578.85 is: 802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.70 : 848.04 = 578.85 : x
  2. Step 2: Convert to fraction form
    611.70/848.04 = 578.85/x
  3. Step 3: Cross multiply
    611.70x = 848.04 × 578.85
  4. Step 4: Simplify right side
    611.70x = 490,887.95
  5. Step 5: Solve for x
    x = 490,887.95/611.70
  6. Step 6: Final answer
    x = 802.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.