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Finding the Fourth Proportional to 684.16, 1,031.00 and 619.21

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Solution

The fourth proportional to 684.16, 1,031.00 and 619.21 is: 933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.16 : 1,031.00 = 619.21 : x
  2. Step 2: Convert to fraction form
    684.16/1,031.00 = 619.21/x
  3. Step 3: Cross multiply
    684.16x = 1,031.00 × 619.21
  4. Step 4: Simplify right side
    684.16x = 638,404.48
  5. Step 5: Solve for x
    x = 638,404.48/684.16
  6. Step 6: Final answer
    x = 933.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.