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Finding the Fourth Proportional to 601.10, 901.65 and 565.10

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Solution

The fourth proportional to 601.10, 901.65 and 565.10 is: 847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.10 : 901.65 = 565.10 : x
  2. Step 2: Convert to fraction form
    601.10/901.65 = 565.10/x
  3. Step 3: Cross multiply
    601.10x = 901.65 × 565.10
  4. Step 4: Simplify right side
    601.10x = 509,522.42
  5. Step 5: Solve for x
    x = 509,522.42/601.10
  6. Step 6: Final answer
    x = 847.65

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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.