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Finding the Fourth Proportional to 953.06, 1,420.62 and 848.39

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Solution

The fourth proportional to 953.06, 1,420.62 and 848.39 is: 1,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.06 : 1,420.62 = 848.39 : x
  2. Step 2: Convert to fraction form
    953.06/1,420.62 = 848.39/x
  3. Step 3: Cross multiply
    953.06x = 1,420.62 × 848.39
  4. Step 4: Simplify right side
    953.06x = 1,205,232.70
  5. Step 5: Solve for x
    x = 1,205,232.70/953.06
  6. Step 6: Final answer
    x = 1,264.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.