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Finding the Fourth Proportional to 1,089.50, 1,503.71 and 623.75

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Solution

The fourth proportional to 1,089.50, 1,503.71 and 623.75 is: 860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.50 : 1,503.71 = 623.75 : x
  2. Step 2: Convert to fraction form
    1,089.50/1,503.71 = 623.75/x
  3. Step 3: Cross multiply
    1,089.50x = 1,503.71 × 623.75
  4. Step 4: Simplify right side
    1,089.50x = 937,939.11
  5. Step 5: Solve for x
    x = 937,939.11/1,089.50
  6. Step 6: Final answer
    x = 860.89

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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.