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Finding the Fourth Proportional to 856.45, 1,283.67 and 753.52

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Solution

The fourth proportional to 856.45, 1,283.67 and 753.52 is: 1,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.45 : 1,283.67 = 753.52 : x
  2. Step 2: Convert to fraction form
    856.45/1,283.67 = 753.52/x
  3. Step 3: Cross multiply
    856.45x = 1,283.67 × 753.52
  4. Step 4: Simplify right side
    856.45x = 967,271.02
  5. Step 5: Solve for x
    x = 967,271.02/856.45
  6. Step 6: Final answer
    x = 1,129.40

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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.