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Finding the Fourth Proportional to 598.04, 824.58 and 515.00

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Solution

The fourth proportional to 598.04, 824.58 and 515.00 is: 710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.04 : 824.58 = 515.00 : x
  2. Step 2: Convert to fraction form
    598.04/824.58 = 515.00/x
  3. Step 3: Cross multiply
    598.04x = 824.58 × 515.00
  4. Step 4: Simplify right side
    598.04x = 424,660.76
  5. Step 5: Solve for x
    x = 424,660.76/598.04
  6. Step 6: Final answer
    x = 710.09

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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.