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Finding the Fourth Proportional to 1,045.44, 1,442.08 and 647.25

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Solution

The fourth proportional to 1,045.44, 1,442.08 and 647.25 is: 892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.44 : 1,442.08 = 647.25 : x
  2. Step 2: Convert to fraction form
    1,045.44/1,442.08 = 647.25/x
  3. Step 3: Cross multiply
    1,045.44x = 1,442.08 × 647.25
  4. Step 4: Simplify right side
    1,045.44x = 933,386.28
  5. Step 5: Solve for x
    x = 933,386.28/1,045.44
  6. Step 6: Final answer
    x = 892.82

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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.