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Finding the Fourth Proportional to 953.77, 1,315.16 and 828.32

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Solution

The fourth proportional to 953.77, 1,315.16 and 828.32 is: 1,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.77 : 1,315.16 = 828.32 : x
  2. Step 2: Convert to fraction form
    953.77/1,315.16 = 828.32/x
  3. Step 3: Cross multiply
    953.77x = 1,315.16 × 828.32
  4. Step 4: Simplify right side
    953.77x = 1,089,362.61
  5. Step 5: Solve for x
    x = 1,089,362.61/953.77
  6. Step 6: Final answer
    x = 1,142.17

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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.