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Finding the Fourth Proportional to 511.52, 705.16 and 364.10

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Solution

The fourth proportional to 511.52, 705.16 and 364.10 is: 501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.52 : 705.16 = 364.10 : x
  2. Step 2: Convert to fraction form
    511.52/705.16 = 364.10/x
  3. Step 3: Cross multiply
    511.52x = 705.16 × 364.10
  4. Step 4: Simplify right side
    511.52x = 256,748.76
  5. Step 5: Solve for x
    x = 256,748.76/511.52
  6. Step 6: Final answer
    x = 501.93

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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.