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Finding the Fourth Proportional to 707.81, 1,056.65 and 615.56

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Solution

The fourth proportional to 707.81, 1,056.65 and 615.56 is: 918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.81 : 1,056.65 = 615.56 : x
  2. Step 2: Convert to fraction form
    707.81/1,056.65 = 615.56/x
  3. Step 3: Cross multiply
    707.81x = 1,056.65 × 615.56
  4. Step 4: Simplify right side
    707.81x = 650,423.11
  5. Step 5: Solve for x
    x = 650,423.11/707.81
  6. Step 6: Final answer
    x = 918.93

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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.