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Finding the Fourth Proportional to 1,055.19, 1,455.76 and 661.53

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Solution

The fourth proportional to 1,055.19, 1,455.76 and 661.53 is: 912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.19 : 1,455.76 = 661.53 : x
  2. Step 2: Convert to fraction form
    1,055.19/1,455.76 = 661.53/x
  3. Step 3: Cross multiply
    1,055.19x = 1,455.76 × 661.53
  4. Step 4: Simplify right side
    1,055.19x = 963,028.91
  5. Step 5: Solve for x
    x = 963,028.91/1,055.19
  6. Step 6: Final answer
    x = 912.66

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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.