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Finding the Fourth Proportional to 584.19, 807.19 and 510.39

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Solution

The fourth proportional to 584.19, 807.19 and 510.39 is: 705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.19 : 807.19 = 510.39 : x
  2. Step 2: Convert to fraction form
    584.19/807.19 = 510.39/x
  3. Step 3: Cross multiply
    584.19x = 807.19 × 510.39
  4. Step 4: Simplify right side
    584.19x = 411,980.43
  5. Step 5: Solve for x
    x = 411,980.43/584.19
  6. Step 6: Final answer
    x = 705.22

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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.