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Finding the Fourth Proportional to 944.16, 1,302.64 and 530.08

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Solution

The fourth proportional to 944.16, 1,302.64 and 530.08 is: 731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.16 : 1,302.64 = 530.08 : x
  2. Step 2: Convert to fraction form
    944.16/1,302.64 = 530.08/x
  3. Step 3: Cross multiply
    944.16x = 1,302.64 × 530.08
  4. Step 4: Simplify right side
    944.16x = 690,503.41
  5. Step 5: Solve for x
    x = 690,503.41/944.16
  6. Step 6: Final answer
    x = 731.34

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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.