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Finding the Fourth Proportional to 1,051.95, 1,574.69 and 987.15

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Solution

The fourth proportional to 1,051.95, 1,574.69 and 987.15 is: 1,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.95 : 1,574.69 = 987.15 : x
  2. Step 2: Convert to fraction form
    1,051.95/1,574.69 = 987.15/x
  3. Step 3: Cross multiply
    1,051.95x = 1,574.69 × 987.15
  4. Step 4: Simplify right side
    1,051.95x = 1,554,450.30
  5. Step 5: Solve for x
    x = 1,554,450.30/1,051.95
  6. Step 6: Final answer
    x = 1,477.68

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