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Finding the Fourth Proportional to 1,065.50, 1,470.40 and 623.31

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Solution

The fourth proportional to 1,065.50, 1,470.40 and 623.31 is: 860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.50 : 1,470.40 = 623.31 : x
  2. Step 2: Convert to fraction form
    1,065.50/1,470.40 = 623.31/x
  3. Step 3: Cross multiply
    1,065.50x = 1,470.40 × 623.31
  4. Step 4: Simplify right side
    1,065.50x = 916,515.02
  5. Step 5: Solve for x
    x = 916,515.02/1,065.50
  6. Step 6: Final answer
    x = 860.17

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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.