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Finding the Fourth Proportional to 584.85, 807.48 and 407.76

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Solution

The fourth proportional to 584.85, 807.48 and 407.76 is: 562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.85 : 807.48 = 407.76 : x
  2. Step 2: Convert to fraction form
    584.85/807.48 = 407.76/x
  3. Step 3: Cross multiply
    584.85x = 807.48 × 407.76
  4. Step 4: Simplify right side
    584.85x = 329,258.04
  5. Step 5: Solve for x
    x = 329,258.04/584.85
  6. Step 6: Final answer
    x = 562.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.