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Finding the Fourth Proportional to 718.03, 1,074.68 and 586.99

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Solution

The fourth proportional to 718.03, 1,074.68 and 586.99 is: 878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.03 : 1,074.68 = 586.99 : x
  2. Step 2: Convert to fraction form
    718.03/1,074.68 = 586.99/x
  3. Step 3: Cross multiply
    718.03x = 1,074.68 × 586.99
  4. Step 4: Simplify right side
    718.03x = 630,818.10
  5. Step 5: Solve for x
    x = 630,818.10/718.03
  6. Step 6: Final answer
    x = 878.55

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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.