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Finding the Fourth Proportional to 568.05, 784.35 and 458.05

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Solution

The fourth proportional to 568.05, 784.35 and 458.05 is: 632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.05 : 784.35 = 458.05 : x
  2. Step 2: Convert to fraction form
    568.05/784.35 = 458.05/x
  3. Step 3: Cross multiply
    568.05x = 784.35 × 458.05
  4. Step 4: Simplify right side
    568.05x = 359,271.52
  5. Step 5: Solve for x
    x = 359,271.52/568.05
  6. Step 6: Final answer
    x = 632.46

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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.