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Finding the Fourth Proportional to 567.02, 782.98 and 357.57

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Solution

The fourth proportional to 567.02, 782.98 and 357.57 is: 493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.02 : 782.98 = 357.57 : x
  2. Step 2: Convert to fraction form
    567.02/782.98 = 357.57/x
  3. Step 3: Cross multiply
    567.02x = 782.98 × 357.57
  4. Step 4: Simplify right side
    567.02x = 279,970.16
  5. Step 5: Solve for x
    x = 279,970.16/567.02
  6. Step 6: Final answer
    x = 493.76

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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.