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Finding the Fourth Proportional to 700.08, 1,049.96 and 358

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Solution

The fourth proportional to 700.08, 1,049.96 and 358 is: 536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.08 : 1,049.96 = 358 : x
  2. Step 2: Convert to fraction form
    700.08/1,049.96 = 358/x
  3. Step 3: Cross multiply
    700.08x = 1,049.96 × 358
  4. Step 4: Simplify right side
    700.08x = 375,885.68
  5. Step 5: Solve for x
    x = 375,885.68/700.08
  6. Step 6: Final answer
    x = 536.92

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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.