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Finding the Fourth Proportional to 1,060.88, 1,464.01 and 646.88

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Solution

The fourth proportional to 1,060.88, 1,464.01 and 646.88 is: 892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.88 : 1,464.01 = 646.88 : x
  2. Step 2: Convert to fraction form
    1,060.88/1,464.01 = 646.88/x
  3. Step 3: Cross multiply
    1,060.88x = 1,464.01 × 646.88
  4. Step 4: Simplify right side
    1,060.88x = 947,038.79
  5. Step 5: Solve for x
    x = 947,038.79/1,060.88
  6. Step 6: Final answer
    x = 892.69

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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.