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Finding the Fourth Proportional to 685.47, 945.32 and 586.26

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Solution

The fourth proportional to 685.47, 945.32 and 586.26 is: 808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.47 : 945.32 = 586.26 : x
  2. Step 2: Convert to fraction form
    685.47/945.32 = 586.26/x
  3. Step 3: Cross multiply
    685.47x = 945.32 × 586.26
  4. Step 4: Simplify right side
    685.47x = 554,204.77
  5. Step 5: Solve for x
    x = 554,204.77/685.47
  6. Step 6: Final answer
    x = 808.50

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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.