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Finding the Fourth Proportional to 584.21, 875.19 and 460.16

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Solution

The fourth proportional to 584.21, 875.19 and 460.16 is: 689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.21 : 875.19 = 460.16 : x
  2. Step 2: Convert to fraction form
    584.21/875.19 = 460.16/x
  3. Step 3: Cross multiply
    584.21x = 875.19 × 460.16
  4. Step 4: Simplify right side
    584.21x = 402,723.01
  5. Step 5: Solve for x
    x = 402,723.01/584.21
  6. Step 6: Final answer
    x = 689.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.