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Finding the Fourth Proportional to 1,065.04, 1,470.08 and 623.04

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Solution

The fourth proportional to 1,065.04, 1,470.08 and 623.04 is: 859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.04 : 1,470.08 = 623.04 : x
  2. Step 2: Convert to fraction form
    1,065.04/1,470.08 = 623.04/x
  3. Step 3: Cross multiply
    1,065.04x = 1,470.08 × 623.04
  4. Step 4: Simplify right side
    1,065.04x = 915,918.64
  5. Step 5: Solve for x
    x = 915,918.64/1,065.04
  6. Step 6: Final answer
    x = 859.99

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Why These Related Problems?

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