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Finding the Fourth Proportional to 707.46, 975.81 and 530.88

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Solution

The fourth proportional to 707.46, 975.81 and 530.88 is: 732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.46 : 975.81 = 530.88 : x
  2. Step 2: Convert to fraction form
    707.46/975.81 = 530.88/x
  3. Step 3: Cross multiply
    707.46x = 975.81 × 530.88
  4. Step 4: Simplify right side
    707.46x = 518,038.01
  5. Step 5: Solve for x
    x = 518,038.01/707.46
  6. Step 6: Final answer
    x = 732.25

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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.