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Finding the Fourth Proportional to 581.70, 802.55 and 357.54

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Solution

The fourth proportional to 581.70, 802.55 and 357.54 is: 493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.70 : 802.55 = 357.54 : x
  2. Step 2: Convert to fraction form
    581.70/802.55 = 357.54/x
  3. Step 3: Cross multiply
    581.70x = 802.55 × 357.54
  4. Step 4: Simplify right side
    581.70x = 286,941.94
  5. Step 5: Solve for x
    x = 286,941.94/581.70
  6. Step 6: Final answer
    x = 493.28

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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.