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Finding the Fourth Proportional to 586.94, 810.99 and 513.14

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Solution

The fourth proportional to 586.94, 810.99 and 513.14 is: 709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.94 : 810.99 = 513.14 : x
  2. Step 2: Convert to fraction form
    586.94/810.99 = 513.14/x
  3. Step 3: Cross multiply
    586.94x = 810.99 × 513.14
  4. Step 4: Simplify right side
    586.94x = 416,148.84
  5. Step 5: Solve for x
    x = 416,148.84/586.94
  6. Step 6: Final answer
    x = 709.01

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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.