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Finding the Fourth Proportional to 1,038.25, 1,555.74 and 652.69

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Solution

The fourth proportional to 1,038.25, 1,555.74 and 652.69 is: 978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.25 : 1,555.74 = 652.69 : x
  2. Step 2: Convert to fraction form
    1,038.25/1,555.74 = 652.69/x
  3. Step 3: Cross multiply
    1,038.25x = 1,555.74 × 652.69
  4. Step 4: Simplify right side
    1,038.25x = 1,015,408.16
  5. Step 5: Solve for x
    x = 1,015,408.16/1,038.25
  6. Step 6: Final answer
    x = 978.00

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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.