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Finding the Fourth Proportional to 602.08, 904.72 and 563.20

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Solution

The fourth proportional to 602.08, 904.72 and 563.20 is: 846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.08 : 904.72 = 563.20 : x
  2. Step 2: Convert to fraction form
    602.08/904.72 = 563.20/x
  3. Step 3: Cross multiply
    602.08x = 904.72 × 563.20
  4. Step 4: Simplify right side
    602.08x = 509,538.30
  5. Step 5: Solve for x
    x = 509,538.30/602.08
  6. Step 6: Final answer
    x = 846.30

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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.