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Finding the Fourth Proportional to 848.80, 1,257.52 and 816.40

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Solution

The fourth proportional to 848.80, 1,257.52 and 816.40 is: 1,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.80 : 1,257.52 = 816.40 : x
  2. Step 2: Convert to fraction form
    848.80/1,257.52 = 816.40/x
  3. Step 3: Cross multiply
    848.80x = 1,257.52 × 816.40
  4. Step 4: Simplify right side
    848.80x = 1,026,639.33
  5. Step 5: Solve for x
    x = 1,026,639.33/848.80
  6. Step 6: Final answer
    x = 1,209.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.