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Finding the Fourth Proportional to 909.60, 1,362.12 and 524.16

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Solution

The fourth proportional to 909.60, 1,362.12 and 524.16 is: 784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.60 : 1,362.12 = 524.16 : x
  2. Step 2: Convert to fraction form
    909.60/1,362.12 = 524.16/x
  3. Step 3: Cross multiply
    909.60x = 1,362.12 × 524.16
  4. Step 4: Simplify right side
    909.60x = 713,968.82
  5. Step 5: Solve for x
    x = 713,968.82/909.60
  6. Step 6: Final answer
    x = 784.93

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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.