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Finding the Fourth Proportional to 666.69, 919.13 and 542.16

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Solution

The fourth proportional to 666.69, 919.13 and 542.16 is: 747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.69 : 919.13 = 542.16 : x
  2. Step 2: Convert to fraction form
    666.69/919.13 = 542.16/x
  3. Step 3: Cross multiply
    666.69x = 919.13 × 542.16
  4. Step 4: Simplify right side
    666.69x = 498,315.52
  5. Step 5: Solve for x
    x = 498,315.52/666.69
  6. Step 6: Final answer
    x = 747.45

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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.