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Finding the Fourth Proportional to 1,056.16, 1,455.94 and 678.01

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Solution

The fourth proportional to 1,056.16, 1,455.94 and 678.01 is: 934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.16 : 1,455.94 = 678.01 : x
  2. Step 2: Convert to fraction form
    1,056.16/1,455.94 = 678.01/x
  3. Step 3: Cross multiply
    1,056.16x = 1,455.94 × 678.01
  4. Step 4: Simplify right side
    1,056.16x = 987,141.88
  5. Step 5: Solve for x
    x = 987,141.88/1,056.16
  6. Step 6: Final answer
    x = 934.65

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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.