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Finding the Fourth Proportional to 491.51, 740.18 and 410.02

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Solution

The fourth proportional to 491.51, 740.18 and 410.02 is: 617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.51 : 740.18 = 410.02 : x
  2. Step 2: Convert to fraction form
    491.51/740.18 = 410.02/x
  3. Step 3: Cross multiply
    491.51x = 740.18 × 410.02
  4. Step 4: Simplify right side
    491.51x = 303,488.60
  5. Step 5: Solve for x
    x = 303,488.60/491.51
  6. Step 6: Final answer
    x = 617.46

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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.