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Finding the Fourth Proportional to 745.02, 1,117.64 and 312.20

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Solution

The fourth proportional to 745.02, 1,117.64 and 312.20 is: 468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.02 : 1,117.64 = 312.20 : x
  2. Step 2: Convert to fraction form
    745.02/1,117.64 = 312.20/x
  3. Step 3: Cross multiply
    745.02x = 1,117.64 × 312.20
  4. Step 4: Simplify right side
    745.02x = 348,927.21
  5. Step 5: Solve for x
    x = 348,927.21/745.02
  6. Step 6: Final answer
    x = 468.35

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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.