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Finding the Fourth Proportional to 710.04, 979.74 and 411.24

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Solution

The fourth proportional to 710.04, 979.74 and 411.24 is: 567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.04 : 979.74 = 411.24 : x
  2. Step 2: Convert to fraction form
    710.04/979.74 = 411.24/x
  3. Step 3: Cross multiply
    710.04x = 979.74 × 411.24
  4. Step 4: Simplify right side
    710.04x = 402,908.28
  5. Step 5: Solve for x
    x = 402,908.28/710.04
  6. Step 6: Final answer
    x = 567.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.