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Finding the Fourth Proportional to 760.76, 1,047.26 and 563.90

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Solution

The fourth proportional to 760.76, 1,047.26 and 563.90 is: 776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.76 : 1,047.26 = 563.90 : x
  2. Step 2: Convert to fraction form
    760.76/1,047.26 = 563.90/x
  3. Step 3: Cross multiply
    760.76x = 1,047.26 × 563.90
  4. Step 4: Simplify right side
    760.76x = 590,549.91
  5. Step 5: Solve for x
    x = 590,549.91/760.76
  6. Step 6: Final answer
    x = 776.26

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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.