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Finding the Fourth Proportional to 1,018.83, 1,405.98 and 553.08

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Solution

The fourth proportional to 1,018.83, 1,405.98 and 553.08 is: 763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.83 : 1,405.98 = 553.08 : x
  2. Step 2: Convert to fraction form
    1,018.83/1,405.98 = 553.08/x
  3. Step 3: Cross multiply
    1,018.83x = 1,405.98 × 553.08
  4. Step 4: Simplify right side
    1,018.83x = 777,618.34
  5. Step 5: Solve for x
    x = 777,618.34/1,018.83
  6. Step 6: Final answer
    x = 763.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.