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Finding the Fourth Proportional to 904.16, 1,356.28 and 384.05

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Solution

The fourth proportional to 904.16, 1,356.28 and 384.05 is: 576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.16 : 1,356.28 = 384.05 : x
  2. Step 2: Convert to fraction form
    904.16/1,356.28 = 384.05/x
  3. Step 3: Cross multiply
    904.16x = 1,356.28 × 384.05
  4. Step 4: Simplify right side
    904.16x = 520,881.76
  5. Step 5: Solve for x
    x = 520,881.76/904.16
  6. Step 6: Final answer
    x = 576.09

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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.