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Finding the Fourth Proportional to 567.40, 782.82 and 360.52

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Solution

The fourth proportional to 567.40, 782.82 and 360.52 is: 497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.40 : 782.82 = 360.52 : x
  2. Step 2: Convert to fraction form
    567.40/782.82 = 360.52/x
  3. Step 3: Cross multiply
    567.40x = 782.82 × 360.52
  4. Step 4: Simplify right side
    567.40x = 282,222.27
  5. Step 5: Solve for x
    x = 282,222.27/567.40
  6. Step 6: Final answer
    x = 497.40

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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.