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Finding the Fourth Proportional to 856.16, 1,284.47 and 369.10

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Solution

The fourth proportional to 856.16, 1,284.47 and 369.10 is: 553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.16 : 1,284.47 = 369.10 : x
  2. Step 2: Convert to fraction form
    856.16/1,284.47 = 369.10/x
  3. Step 3: Cross multiply
    856.16x = 1,284.47 × 369.10
  4. Step 4: Simplify right side
    856.16x = 474,089.61
  5. Step 5: Solve for x
    x = 474,089.61/856.16
  6. Step 6: Final answer
    x = 553.74

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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.