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Finding the Fourth Proportional to 653.28, 976.26 and 530.16

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Solution

The fourth proportional to 653.28, 976.26 and 530.16 is: 792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.28 : 976.26 = 530.16 : x
  2. Step 2: Convert to fraction form
    653.28/976.26 = 530.16/x
  3. Step 3: Cross multiply
    653.28x = 976.26 × 530.16
  4. Step 4: Simplify right side
    653.28x = 517,574.00
  5. Step 5: Solve for x
    x = 517,574.00/653.28
  6. Step 6: Final answer
    x = 792.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.