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Finding the Fourth Proportional to 770.24, 1,156.55 and 498.08

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Solution

The fourth proportional to 770.24, 1,156.55 and 498.08 is: 747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.24 : 1,156.55 = 498.08 : x
  2. Step 2: Convert to fraction form
    770.24/1,156.55 = 498.08/x
  3. Step 3: Cross multiply
    770.24x = 1,156.55 × 498.08
  4. Step 4: Simplify right side
    770.24x = 576,054.82
  5. Step 5: Solve for x
    x = 576,054.82/770.24
  6. Step 6: Final answer
    x = 747.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.