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Finding the Fourth Proportional to 2,287.40, 3,430.56 and 644.10

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Solution

The fourth proportional to 2,287.40, 3,430.56 and 644.10 is: 966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.40 : 3,430.56 = 644.10 : x
  2. Step 2: Convert to fraction form
    2,287.40/3,430.56 = 644.10/x
  3. Step 3: Cross multiply
    2,287.40x = 3,430.56 × 644.10
  4. Step 4: Simplify right side
    2,287.40x = 2,209,623.70
  5. Step 5: Solve for x
    x = 2,209,623.70/2,287.40
  6. Step 6: Final answer
    x = 966.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.