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Finding the Fourth Proportional to 504, 752.58 and 412.47

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Solution

The fourth proportional to 504, 752.58 and 412.47 is: 615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 752.58 = 412.47 : x
  2. Step 2: Convert to fraction form
    504/752.58 = 412.47/x
  3. Step 3: Cross multiply
    504x = 752.58 × 412.47
  4. Step 4: Simplify right side
    504x = 310,416.67
  5. Step 5: Solve for x
    x = 310,416.67/504
  6. Step 6: Final answer
    x = 615.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.