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Finding the Fourth Proportional to 770.10, 1,062.68 and 508.46

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Solution

The fourth proportional to 770.10, 1,062.68 and 508.46 is: 701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.10 : 1,062.68 = 508.46 : x
  2. Step 2: Convert to fraction form
    770.10/1,062.68 = 508.46/x
  3. Step 3: Cross multiply
    770.10x = 1,062.68 × 508.46
  4. Step 4: Simplify right side
    770.10x = 540,330.27
  5. Step 5: Solve for x
    x = 540,330.27/770.10
  6. Step 6: Final answer
    x = 701.64

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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.