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Finding the Fourth Proportional to 607.19, 909.63 and 509.45

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Solution

The fourth proportional to 607.19, 909.63 and 509.45 is: 763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.19 : 909.63 = 509.45 : x
  2. Step 2: Convert to fraction form
    607.19/909.63 = 509.45/x
  3. Step 3: Cross multiply
    607.19x = 909.63 × 509.45
  4. Step 4: Simplify right side
    607.19x = 463,406.46
  5. Step 5: Solve for x
    x = 463,406.46/607.19
  6. Step 6: Final answer
    x = 763.20

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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.