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Finding the Fourth Proportional to 956.50, 1,430.78 and 898.18

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Solution

The fourth proportional to 956.50, 1,430.78 and 898.18 is: 1,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.50 : 1,430.78 = 898.18 : x
  2. Step 2: Convert to fraction form
    956.50/1,430.78 = 898.18/x
  3. Step 3: Cross multiply
    956.50x = 1,430.78 × 898.18
  4. Step 4: Simplify right side
    956.50x = 1,285,089.91
  5. Step 5: Solve for x
    x = 1,285,089.91/956.50
  6. Step 6: Final answer
    x = 1,343.54

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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.