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Finding the Fourth Proportional to 972.58, 1,342.46 and 623.26

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Solution

The fourth proportional to 972.58, 1,342.46 and 623.26 is: 860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.58 : 1,342.46 = 623.26 : x
  2. Step 2: Convert to fraction form
    972.58/1,342.46 = 623.26/x
  3. Step 3: Cross multiply
    972.58x = 1,342.46 × 623.26
  4. Step 4: Simplify right side
    972.58x = 836,701.62
  5. Step 5: Solve for x
    x = 836,701.62/972.58
  6. Step 6: Final answer
    x = 860.29

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1.5x scale

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.