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Finding the Fourth Proportional to 684.48, 945.36 and 530.40

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Solution

The fourth proportional to 684.48, 945.36 and 530.40 is: 732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.48 : 945.36 = 530.40 : x
  2. Step 2: Convert to fraction form
    684.48/945.36 = 530.40/x
  3. Step 3: Cross multiply
    684.48x = 945.36 × 530.40
  4. Step 4: Simplify right side
    684.48x = 501,418.94
  5. Step 5: Solve for x
    x = 501,418.94/684.48
  6. Step 6: Final answer
    x = 732.55

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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.