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Finding the Fourth Proportional to 685.23, 946.50 and 567.68

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Solution

The fourth proportional to 685.23, 946.50 and 567.68 is: 784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.23 : 946.50 = 567.68 : x
  2. Step 2: Convert to fraction form
    685.23/946.50 = 567.68/x
  3. Step 3: Cross multiply
    685.23x = 946.50 × 567.68
  4. Step 4: Simplify right side
    685.23x = 537,309.12
  5. Step 5: Solve for x
    x = 537,309.12/685.23
  6. Step 6: Final answer
    x = 784.13

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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.