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Finding the Fourth Proportional to 1,038.01, 1,557.77 and 648.58

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Solution

The fourth proportional to 1,038.01, 1,557.77 and 648.58 is: 973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.01 : 1,557.77 = 648.58 : x
  2. Step 2: Convert to fraction form
    1,038.01/1,557.77 = 648.58/x
  3. Step 3: Cross multiply
    1,038.01x = 1,557.77 × 648.58
  4. Step 4: Simplify right side
    1,038.01x = 1,010,338.47
  5. Step 5: Solve for x
    x = 1,010,338.47/1,038.01
  6. Step 6: Final answer
    x = 973.34

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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.