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Finding the Fourth Proportional to 684.52, 945.08 and 597.66

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Solution

The fourth proportional to 684.52, 945.08 and 597.66 is: 825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.52 : 945.08 = 597.66 : x
  2. Step 2: Convert to fraction form
    684.52/945.08 = 597.66/x
  3. Step 3: Cross multiply
    684.52x = 945.08 × 597.66
  4. Step 4: Simplify right side
    684.52x = 564,836.51
  5. Step 5: Solve for x
    x = 564,836.51/684.52
  6. Step 6: Final answer
    x = 825.16

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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.