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Finding the Fourth Proportional to 581.45, 870.65 and 547.74

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Solution

The fourth proportional to 581.45, 870.65 and 547.74 is: 820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.45 : 870.65 = 547.74 : x
  2. Step 2: Convert to fraction form
    581.45/870.65 = 547.74/x
  3. Step 3: Cross multiply
    581.45x = 870.65 × 547.74
  4. Step 4: Simplify right side
    581.45x = 476,885.48
  5. Step 5: Solve for x
    x = 476,885.48/581.45
  6. Step 6: Final answer
    x = 820.17

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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.