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Finding the Fourth Proportional to 709.12, 978.70 and 530.56

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Solution

The fourth proportional to 709.12, 978.70 and 530.56 is: 732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 978.70 = 530.56 : x
  2. Step 2: Convert to fraction form
    709.12/978.70 = 530.56/x
  3. Step 3: Cross multiply
    709.12x = 978.70 × 530.56
  4. Step 4: Simplify right side
    709.12x = 519,254.18
  5. Step 5: Solve for x
    x = 519,254.18/709.12
  6. Step 6: Final answer
    x = 732.26

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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.