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Finding the Fourth Proportional to 661.50, 912.16 and 595.38

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Solution

The fourth proportional to 661.50, 912.16 and 595.38 is: 820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 912.16 = 595.38 : x
  2. Step 2: Convert to fraction form
    661.50/912.16 = 595.38/x
  3. Step 3: Cross multiply
    661.50x = 912.16 × 595.38
  4. Step 4: Simplify right side
    661.50x = 543,081.82
  5. Step 5: Solve for x
    x = 543,081.82/661.50
  6. Step 6: Final answer
    x = 820.99

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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.