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Finding the Fourth Proportional to 465.58, 699.24 and 410.01

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Solution

The fourth proportional to 465.58, 699.24 and 410.01 is: 615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.58 : 699.24 = 410.01 : x
  2. Step 2: Convert to fraction form
    465.58/699.24 = 410.01/x
  3. Step 3: Cross multiply
    465.58x = 699.24 × 410.01
  4. Step 4: Simplify right side
    465.58x = 286,689.85
  5. Step 5: Solve for x
    x = 286,689.85/465.58
  6. Step 6: Final answer
    x = 615.77

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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.