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Finding the Fourth Proportional to 720.16, 992.16 and 522.40

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Solution

The fourth proportional to 720.16, 992.16 and 522.40 is: 719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.16 : 992.16 = 522.40 : x
  2. Step 2: Convert to fraction form
    720.16/992.16 = 522.40/x
  3. Step 3: Cross multiply
    720.16x = 992.16 × 522.40
  4. Step 4: Simplify right side
    720.16x = 518,304.38
  5. Step 5: Solve for x
    x = 518,304.38/720.16
  6. Step 6: Final answer
    x = 719.71

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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.