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Finding the Fourth Proportional to 567.49, 783.22 and 346.40

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Solution

The fourth proportional to 567.49, 783.22 and 346.40 is: 478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.49 : 783.22 = 346.40 : x
  2. Step 2: Convert to fraction form
    567.49/783.22 = 346.40/x
  3. Step 3: Cross multiply
    567.49x = 783.22 × 346.40
  4. Step 4: Simplify right side
    567.49x = 271,307.41
  5. Step 5: Solve for x
    x = 271,307.41/567.49
  6. Step 6: Final answer
    x = 478.08

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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.