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Finding the Fourth Proportional to 567.02, 782.63 and 346.10

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Solution

The fourth proportional to 567.02, 782.63 and 346.10 is: 477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.02 : 782.63 = 346.10 : x
  2. Step 2: Convert to fraction form
    567.02/782.63 = 346.10/x
  3. Step 3: Cross multiply
    567.02x = 782.63 × 346.10
  4. Step 4: Simplify right side
    567.02x = 270,868.24
  5. Step 5: Solve for x
    x = 270,868.24/567.02
  6. Step 6: Final answer
    x = 477.70

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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.