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Finding the Fourth Proportional to 567.83, 783.35 and 346.76

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Solution

The fourth proportional to 567.83, 783.35 and 346.76 is: 478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.83 : 783.35 = 346.76 : x
  2. Step 2: Convert to fraction form
    567.83/783.35 = 346.76/x
  3. Step 3: Cross multiply
    567.83x = 783.35 × 346.76
  4. Step 4: Simplify right side
    567.83x = 271,628.80
  5. Step 5: Solve for x
    x = 271,628.80/567.83
  6. Step 6: Final answer
    x = 478.37

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Double scale
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1.5x scale

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.