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Finding the Fourth Proportional to 1,068.54, 1,602.06 and 547.53

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Solution

The fourth proportional to 1,068.54, 1,602.06 and 547.53 is: 820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.54 : 1,602.06 = 547.53 : x
  2. Step 2: Convert to fraction form
    1,068.54/1,602.06 = 547.53/x
  3. Step 3: Cross multiply
    1,068.54x = 1,602.06 × 547.53
  4. Step 4: Simplify right side
    1,068.54x = 877,175.91
  5. Step 5: Solve for x
    x = 877,175.91/1,068.54
  6. Step 6: Final answer
    x = 820.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.