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Finding the Fourth Proportional to 581.63, 869.36 and 478.35

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Solution

The fourth proportional to 581.63, 869.36 and 478.35 is: 714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 869.36 = 478.35 : x
  2. Step 2: Convert to fraction form
    581.63/869.36 = 478.35/x
  3. Step 3: Cross multiply
    581.63x = 869.36 × 478.35
  4. Step 4: Simplify right side
    581.63x = 415,855.96
  5. Step 5: Solve for x
    x = 415,855.96/581.63
  6. Step 6: Final answer
    x = 714.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.