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Finding the Fourth Proportional to 582.84, 802.86 and 545.40

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Solution

The fourth proportional to 582.84, 802.86 and 545.40 is: 751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.84 : 802.86 = 545.40 : x
  2. Step 2: Convert to fraction form
    582.84/802.86 = 545.40/x
  3. Step 3: Cross multiply
    582.84x = 802.86 × 545.40
  4. Step 4: Simplify right side
    582.84x = 437,879.84
  5. Step 5: Solve for x
    x = 437,879.84/582.84
  6. Step 6: Final answer
    x = 751.29

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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.