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Finding the Fourth Proportional to 1,056.15, 1,592.24 and 985.68

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Solution

The fourth proportional to 1,056.15, 1,592.24 and 985.68 is: 1,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.15 : 1,592.24 = 985.68 : x
  2. Step 2: Convert to fraction form
    1,056.15/1,592.24 = 985.68/x
  3. Step 3: Cross multiply
    1,056.15x = 1,592.24 × 985.68
  4. Step 4: Simplify right side
    1,056.15x = 1,569,434.19
  5. Step 5: Solve for x
    x = 1,569,434.19/1,056.15
  6. Step 6: Final answer
    x = 1,486.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.