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Finding the Fourth Proportional to 586.95, 810.15 and 365.77

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Solution

The fourth proportional to 586.95, 810.15 and 365.77 is: 504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.95 : 810.15 = 365.77 : x
  2. Step 2: Convert to fraction form
    586.95/810.15 = 365.77/x
  3. Step 3: Cross multiply
    586.95x = 810.15 × 365.77
  4. Step 4: Simplify right side
    586.95x = 296,328.57
  5. Step 5: Solve for x
    x = 296,328.57/586.95
  6. Step 6: Final answer
    x = 504.86

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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.