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Finding the Fourth Proportional to 556.44, 829.65 and 510.18

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Solution

The fourth proportional to 556.44, 829.65 and 510.18 is: 760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.44 : 829.65 = 510.18 : x
  2. Step 2: Convert to fraction form
    556.44/829.65 = 510.18/x
  3. Step 3: Cross multiply
    556.44x = 829.65 × 510.18
  4. Step 4: Simplify right side
    556.44x = 423,270.84
  5. Step 5: Solve for x
    x = 423,270.84/556.44
  6. Step 6: Final answer
    x = 760.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.