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Finding the Fourth Proportional to 1,065.48, 1,470.08 and 623.13

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Solution

The fourth proportional to 1,065.48, 1,470.08 and 623.13 is: 859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.48 : 1,470.08 = 623.13 : x
  2. Step 2: Convert to fraction form
    1,065.48/1,470.08 = 623.13/x
  3. Step 3: Cross multiply
    1,065.48x = 1,470.08 × 623.13
  4. Step 4: Simplify right side
    1,065.48x = 916,047.83
  5. Step 5: Solve for x
    x = 916,047.83/1,065.48
  6. Step 6: Final answer
    x = 859.75

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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.