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Finding the Fourth Proportional to 551.51, 760.28 and 420.29

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Solution

The fourth proportional to 551.51, 760.28 and 420.29 is: 579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.51 : 760.28 = 420.29 : x
  2. Step 2: Convert to fraction form
    551.51/760.28 = 420.29/x
  3. Step 3: Cross multiply
    551.51x = 760.28 × 420.29
  4. Step 4: Simplify right side
    551.51x = 319,538.08
  5. Step 5: Solve for x
    x = 319,538.08/551.51
  6. Step 6: Final answer
    x = 579.39

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1.5x scale

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.