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Finding the Fourth Proportional to 792.77, 1,094.40 and 527.65

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Solution

The fourth proportional to 792.77, 1,094.40 and 527.65 is: 728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.77 : 1,094.40 = 527.65 : x
  2. Step 2: Convert to fraction form
    792.77/1,094.40 = 527.65/x
  3. Step 3: Cross multiply
    792.77x = 1,094.40 × 527.65
  4. Step 4: Simplify right side
    792.77x = 577,463.51
  5. Step 5: Solve for x
    x = 577,463.51/792.77
  6. Step 6: Final answer
    x = 728.41

Related Problems

Find fourth proportional to 396.38, 547.20 and 263.83
Half scale
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Double scale
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1.5x scale

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.