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Finding the Fourth Proportional to 464.59, 692.83 and 407.08

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Solution

The fourth proportional to 464.59, 692.83 and 407.08 is: 607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.59 : 692.83 = 407.08 : x
  2. Step 2: Convert to fraction form
    464.59/692.83 = 407.08/x
  3. Step 3: Cross multiply
    464.59x = 692.83 × 407.08
  4. Step 4: Simplify right side
    464.59x = 282,037.24
  5. Step 5: Solve for x
    x = 282,037.24/464.59
  6. Step 6: Final answer
    x = 607.07

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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.