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Finding the Fourth Proportional to 531.58, 800.74 and 491.48

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Solution

The fourth proportional to 531.58, 800.74 and 491.48 is: 740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.58 : 800.74 = 491.48 : x
  2. Step 2: Convert to fraction form
    531.58/800.74 = 491.48/x
  3. Step 3: Cross multiply
    531.58x = 800.74 × 491.48
  4. Step 4: Simplify right side
    531.58x = 393,547.70
  5. Step 5: Solve for x
    x = 393,547.70/531.58
  6. Step 6: Final answer
    x = 740.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.